On a busy day, a shop sells a total of 15 desks and chairs for a total amount of $960.The desks sell for $120 each and the chairs sell for $50 each.
(a) Express the information as two equations. Let d equal the number of desks and let c equal the number of chairs.
(b) Solve the equations simultaneously to find how many of each were sold.

Answers

Answer 1

Answer:

- sold 15 desks + chairs

- each desk is $120

- each chair is $50

- total amount is $960

- desk = d

- chairs = c

(a) i/ d + c = 15

ii/ 120d + 50c = 960

(b) d+c = 15 --------- (1)

120d + 50c = 960 --------(2)

from (1) d+c = 15

c = 15-d --------- (3)

substitute (3) into (2)

120d + 50c = 960

120d + 50(15-d) = 960

120d + 750 - 50d = 960

120d - 50d = 960 - 750

70d = 210

d = 210/70

d = 3

substitute d=3 into (3)

c = 15-d

c = 15-3

c = 12

thus, 3 desks and 12 chairs were sold


Related Questions

George is buying gifts for his three sisters. He has $45 to spend and has a coupon for $12 off. Write an inequality to represent the amount he can spend.

Answers

Answer:

The inequality that represents how much George can spend is y ≤ $45 + $12, which gives y ≤ $57

Step-by-step explanation:

The given parameters are;

The amount George has to spend for his sisters = $45

The amount of coupon George has = $12

The inequality that represents how much George can spend, y, is given as follows

y ≤ $45 + $12.

A triangle has both its base and height reduced by a factor of one half. By what factor would the area of the triangle decrease?

Answers

I think 30% might be you’re answer

7500 dollars is placed in an account with an annual interest rate of 5.25%. To the nearest tenth of a year, how long will it take for the account value to reach 34300 dollars?

Answers

ssvhcvbbcccccccccccch da as usa hcsfghssfcvygfggf

I will give u the Brainly thingy HelPPpppppP ASAP I’m timeeddd and EXPLAIN

Answers

Answer:

The first one

The second one

The third one

The fifth one

Step-by-step explanation:

A train traveling at 37 M.P.H. had its speed increased by 22 ft. per sec.
If 88 ft./sec. = 60 M.P.H., then the train is now traveling at M.P.H.

Answers

Answer:

52 mph

Step-by-step explanation:

If 88 ft/sec = 60 mph

The 22 ft/ sec is 60/4 = 15 mph

This is so because 88/22 is 4

So we simply proceed to add this to the previous speed in mph

That gives a total of 15 + 37 = 52 mph

I WILL GIVE BRAINLEST!!!!!!


Frank earned x dollars the first week of his new job. He earned 5% more the
second week than the first week. Which expression represents the total amount of
money Frank earned for both weeks?
A. 1.50x
B. 1.05x
C. 2.00x
D. 2.05x


PLSSS SHOW YOUR WORK PLSSSS

Answers

Can Smart people Answer this plz.??????? I WILL GIVE BRAINLEST!!!!!!


Frank earned x dollars the first week of his new job. He earned 5% more the
second week than the first week. Which expression represents the total amount of
money Frank earned for both weeks?
A. 1.50x
B. 1.05x
C. 2.00x
D. 2.05x


PLSSS SHOW YOUR WORK PLSSSS

Trey is buying a computer on sale. The original price was $1,200. If the sale price is ⅚ of the original price, how much did Trey pay for the computer?



Type the numerical answer only

Answers

Answer:

5/6 of $1,200 is $1,000

The answer is $1000

ps: dont add the ($) only numerical answer

PLEASE ANSWER FAST I NEED HELPPP

Answers

The first answer is “B” and the second one is “D”. Attached below is my work.
I hoped this helped!! ^w^

Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

Answers

Answer:

√39

Step-by-step explanation:

use the Pythagorean Th because the triangle is right

8² = 5² + x²

8²-5² = x²

√64-25 = x

√39 =x

What are some ideas for my girlfriends Christmas present of little sayings I can put in a box in a box in a box in a box. For example, if I got my girlfriend a nose ring in one of the boxes, I could say nobody “nose” me like you do. PLEASE HELP, I NEED IDEAS ASAP, thank you!

Answers

Step-by-step explanation:

I don't think she want's a nose ring, Okay start by writing a pretty poem then Give a meaningful necklace. Girl like jewlry

Omg I love this question like you can buy her some jewelry or a purse or makeup! Depends what kind of aesthetic she is.

Which of the following coordinates is located in Quadrant IV

Answers

Answer:

Is there a picture?

Step-by-step explanation:

Answer: where is the picture

Step-by-step explanation:

but the 4th Quadrant is all the way to the right bottom

How can you use addition rules to solve subtraction problems with integers?​

Answers

Answer:

Not entirely sure about what the question is asking, but explanation of what I think it is asking.

Step-by-step explanation:

There are three basic rules of addition.

Positive + Positive = Positive Ex: 1+1=2

Negative + Negative = Negative Ex: -2+-2=-4

Negative + Positive = Positive or Negative depending on the value.

Ex= 1+(-2)=(-1)

Ex=2+(-1)=1

So subtraction problems can be turned into addition problems.

For example:

4-2 is the same as 4+(-2).

Or -5-7 is the same as -5+(-7).

Hope this makes sense.

Suppose U = {1, 2, 3, 4, 5, 6, 7, 8} is the universal set, and P = {1, 3, 5, 7}. What is upper P superscript single-quote baseline? (1 point) A. {2, 4, 6, 8} B. {1, 2, 3, 4, 5, 6, 7, 8} C. {1, 3, 5, 7} D. {1, 3, 5, 7, 8}

Answers

Answer:

A. {2, 4, 6, 8}

Step-by-step explanation:

"U" is the set of whole numbers form 1 to 8

"P" is the set of odds within that, so that leaves P' as the evens.

If possible, can anyone help with these two? --sorry, im dumb ;-;-- THANKS!

Answers

Answer:

1) 3^2 or 9

2)5^18

Step-by-step explanation:

Ok but you have to hit that crown :D

Simplify: 3^8x3^4 = 3^12

3^2x3^8=3^10

3^12/3^10 = 3^2 or 9

5^3^6=5^18

Hope this helps :D

Is 9.78778777... a rational or irrational number?

Answers

The answer is - Irrational

The given decimal number 9.78778777... is non-terminating and non-recurring it is an irrational number.

The given decimal number is 9.78778777....

We need to check whether the given decimal number is a rational or irrational number.

What are rational and irrational numbers?

Rational numbers: Rational numbers are in the form of p/q, where p and q can be any integer and q ≠ 0. This means that rational numbers include natural numbers, whole numbers, integers, fractions of integers, and decimals (terminating decimals and recurring decimals).

Irrational numbers: Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integers. The denominator q is not equal to zero (q ≠ 0). Also, the decimal expansion of an irrational number is neither terminating nor repeating.

So, from the definition of rational and irrational numbers, we can say the given decimal number 9.78778777... is irrational.

Since the given decimal number 9.78778777... is non-terminating and non-recurring it is an irrational number.

To learn more about rational and irrational numbers visit:

https://brainly.com/question/3386568.

#SPJ2

Sandy plays a matching game in order to advance to the next level, she must score at least 10 points. She scores 15 points for correct matches and -6 points for incorrect matches.

A.Write an addition expression to represent the amount of points Sandy earned.

B.Did Sandy make it to the next level? Explain

Answers

Answer:

A) Points earned = 15 - 6

B) Sandy didn't make it to the next level since her score was 9 and she needed a minimum of 10

Step-by-step explanation:

To advance to the next level in her game, Sandy must score at least 10 points.

She scores 15 points for correct matches

She scores -6 points for incorrect matches.

A. The amount of points earned by Sandy in the game is the sum of both scores:

points earned = 15 - 6

points earned = 9

B. Unfortunately, Sandy didn't make it to the next level since her score was 9 and she needed a minimum of 10

Write the following ratio in simplest form: 2 to 4

Answers

Answer:it would be 1:2

Answer:

1 : 2

Step-by-step explanation:

2 : 4

A ratio is another way of expressing a fraction. Hence, if one divides both sides by the same number, it will be the equivalent of one reducing a fraction, and it will still be equivalent to the original value. Hence, to reduce this ratio; divide both sides by 2

1 : 2

What is the area of ΔXYZ below?

Select the best answer from the choices provided. A. 9√3 4 B. 9√3 3 C. 9√3 2 D. 9√3

Answers

Step-by-step explanation:

We need to find the height of the triangle first.

Height=>sin(60°)=h/3 but sin(60°)=√3/2

h=3×√3/2=3√3/2

Area=½×base×height

A=½×3×3√3/2

A=9√3/4

Answer is option A

I don't understand. ​

Answers

Answer:

symmetric is the answer

Answer:

the second choice took the test

Each batch of cookie mix need 0.4 cups of sugar, and each batch can make 16 cookies. If Ashley is making 4 batches of cookies, how much sugar does she need?
Can you please explain your answer pretty plz

Answers

Answer:

.16

Step-by-step explanation:

All you do is double each number by 4.

Answer:

1.6 cups of sugar

Step-by-step explanation:

1 batch=0.4 cups

So if you want 4 batches, you would have to quadruple the amount of sugar

0.4x4=1.6

What is the value of x y and z
I’ll give brainliest

Answers

Answer:

x=2

length y = 4

angle Z = 45

Step-by-step explanation:

x^2 = 2x^2 - 4

put like terms on same sides, lets subtract x^2 to both sides

0 = x^2 - 4

add 4 to both sides

4 = x^2

square root of 4 = 2

x=2

since it is a square, we know all sides are the same length (proof also shown) so y is equal to the other side x^2

y = x^2

y = 4

Angle Z is 45 degrees, because a square has all right angles that are 90 degrees, but a diagonal evenly splits angle into two 45 degree parts.

please give thanks by clicking the heart button! :)

what is 15 feet converted to meters

Answers

Answer:

4.572 meters

Step-by-step explanation:

hope it helps, mark brainliest please

Answer:

4.572 meters; 4.6 rounded.

Step-by-step explanation:

Multiply the foot value by 0.3048 or divide by 3.280839895

15x0.3048

=4.572

PLZ HELP!!


Tony paid $12 for a carnival ticket. Then he paid $3 per ride. If he spent $36, how many rides did he buy? Solve using an ALGEBRAIC EQUATION

Answers

Answer:

8

Step-by-step explanation:

The expression you need to use would be

3x+12=36.

Subtract 12 from both sides

3x=24

Divide by 3

X=8

Ms. Green purchased a new computer for $1,450 at the Apple Store. If sales tax is 9.5%, what was the tax and total of her purchase?

Answers

Tax: $137.75

Total: $1587.75

I hope this helps, and Happy Holidays! :)

A line passes through the points (2, -4) and (4, 2). What is the equation of this line in slope-intercept form?

Answers

Sorry the solution cut off but it’s y=3x-10

Answer:

A:y=3x-10

Step-by-step explanation: the rise and run is 6/2 and the y intercept is -10

10/3 = x divided by -5/2
x = ?

Answers

Answer:

-4/3

have a nice day/night

Answer:

x = -25/3

Step-by-step explanation:

x divided by -5/2 is equal to x multiplied by -2/5

therefore, proportion is [tex]\frac{10}{3}[/tex] = [tex]\frac{-2x}{5}[/tex]

cross-multiply: -6x = 50

x = -50/6 or -25/3

Tyler went to the super market to buy food for a pantry. He has $36, and can carry up to 20pounds of food in his backpack. One package of pasta is the right amount to go with one jar of pasta sauce. What is the best number of packages of pasta and jar of pasta sauce to buy for the food pantry

Answers

This question is incomplete

Complete Question

Tyler went to the supermarket to buy food for a food pantry. He has $36, and can carry up to 20 pounds of food in his backpack. Pasta costs $1 for a 1-pound package. Pasta sauce costs $3 for a 1.5 pound jar. Let x = the number of packages of pasta and y = the number of jars of pasta sauce. One package of pasta is the right amount to go with one jar of pasta sauce. What is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry? Explain your reasoning.

Answer:

Eight is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry.

Step-by-step explanation:

Let

x = the number of packages of pasta

y = the number of jars of pasta sauce.

He has $36, and can carry up to 20 pounds of food in his backpack. Pasta costs $1 for a 1-pound package. Pasta sauce costs $3 for a 1.5 pound jar.

x + 1.5y ≤ 20....... Equation 1

x = 20 - 1.5y

x × $1 + y × $3 = $36

x + 3y ≤ 36..... Equation 2

20 - 1.5y + 3y = 36

-1.5y + 3y = 36 - 20

1.5y = 16

y = 16/1.5

y = 8

And x = 8

Therefore,

Eight is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry.

A airplane traveled 120 km in 240 minutes. What is the average speed of the airplane? a. 40 b. 10 C. 30 d. 60​

Answers

Answer:

C

Step-by-step explanation:

240m= 4h

120km

V= 120/4 = 30 km/h

I hope this helps, have a good day

The sum of two numbers is 52. The larger number is 10 more than the smaller number. What are the numbers?

Answers

Answer:

42?

Step-by-step explanation:

Just because 52-10 is 42..but thats to simple

Answer:

5.20000

Step-by-step explanation:

           25

Simplify   ——

           5

Ben earns an annual income of $12,800 a year. The income tax he has to pay is 15%. What is the amount of income tax in dollars and cents that the Ben has to pay?

Answers

Answer:

$

1

,

920

Explanation:

Find  

15

%

×

12800

15

100

×

12800

1

=

$

1

,

920

Step-by-step explanation:

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