PLEASE HELP WITH PART A AND B- PLEASE HAVE WORKKK I WILL MARK BRAINLIEST PLEASE HELP!

You are comparing the costs of a certain model of ladder at a hardware store and online. The sale information can be found below.



PART A: Calculate the final cost of the ladder at each of the stores. Include the proportion(s) or equations(s) you needed to reach your answer.









PART B: Suppose the hardware store decides to offer 10% off the cost of the ladder (but still keep the 6% tax) and the online store decides to offer free shipping and handling (but still keep the 6% tax). In this situation, which store offers the better final cost? Include the proportion(s) or equations(s) you needed to reach your answer.

Answer:

Part A:

Part B: The hardware store is cheaper.

Step-by-step explanation:

Part A:

At the hardware store, the ladder is 350 plus 6% tax. To solve this you would multiply 350 by 1.06 tax. Then you would get 371. Online, the ladder is 320 plus 6% tax and 5% shipping. To solve this you would multiply 320 by 1.11 (tax and shipping combined). Then you would get 355.20.

Part B:

To solve the cost of the ladder at the hardware store, you would need to first multiply 350 by 0.9 for the 10% discount. That would get you 315. Then add the 6% tax to get 333.90. To solve for the online ladder, you would need to multiply 320 by 1.06 (6%), and get an answer of 339.20. This means that the hardware store is cheaper.

Answer

Step-by-step explanation: How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

We need to Write the percent as a fraction in simplest form

16.24%

So, we can rewrite it as;

16.24 / 100

16 and 24/100 or 16 6/25

So the percent as a fraction is 16 6/25

We are given that;

Cost of ladder= $320

Sales tax of shipping and handling is 5% and 6%

Off on hardware= 10%

Now,

PART A:

At the online store, the ladder costs $320, and the sales tax is 6% of $320, which is:

$320 x 0.06 = $19.20

The shipping and handling is 5% of $320, which is:

$320 x 0.05 = $16

So the total cost of buying the ladder online is:

$320 + $19.20 + $16 = $355.20

At the physical store, the ladder costs $350, and the sales tax is 6% of $350, which is:

$350 x 0.06 = $21

So the total cost of buying the ladder at the physical store is:

$350 + $21 = $371

Therefore, buying the ladder online would be cheaper, with a total cost of $355.20.

PART B:

If the hardware store is offering 10% off the price of the ladder, the cost of the ladder would be:

$350 x 0.1 = $35 off

$350 - $35 = $315

So the total cost of buying the ladder at the physical store with the discount would be:

$315 + $18.90 (6% sales tax) = $333.90

If the online store is offering free shipping and handling, the total cost of buying the ladder online would be the same as the cost of the ladder:

$320 + $19.20 (6% sales tax) = $339.20

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