A bus travels two different routes: the Green Route and the Blue Route. The routes are different lengths.
● On Monday the bus traveled the Green Route 6 times and the Blue Route 5 times, traveling a total of 52
miles.
● On Tuesday the bus traveled the Green Route 12 times and the Blue Route 13 times, traveling a total of
119 miles.
What is the length of the Green Route in miles?
A .4.4 mi
B. 4.5 mi
C. 6.4 mi
D. 6.8 mi

Answers

Answer 1

Answer:

B.    4.5 mi.

Step-by-step explanation:

Let g = length of green route

     b = length of blue route

(1)    6g + 5b = 52            (2)      12g + 13b = 119

Mult. (1) by -2                             -12g - 10b = -104

                                                             3b = 15

                                                                b = 5

       6g + 5(5) = 52

         6g + 25 = 52

         6g = 27

           g = 27/6 = 9/2

Answer 2

The length of the Green route is 4.5m and the length of the Blue route is 5m and this can be determined by forming the linear equation.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

On Monday the bus traveled the Green Route 6 times and the Blue Route 5 times, traveling a total of 52 miles.

On Tuesday the bus traveled the Green Route 12 times and the Blue Route 13 times, traveling a total of 119 miles.

Let the length of the Green route be 'a' and the length of the Blue route be 'b' then on Monday bus traveled:

6a + 5b = 52   ---- (1)

On Tuesday the bus traveled:

12a + 13b = 119  ----- (2)

Now, solve the equation (1) for 'a'.

a = (52 - 5b) /6     ------ (3)

Now, put the value of 'a' in equation (2).

12 (52 - 5b) / 6 + 13b = 119

b = 5 m

Now, put the value of b in equation (1).

6a + 5b = 52  

a = 4.5 m

Learn more about the mathematical expression visit:

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