Question

A sweater originally priced at $65 is on sale for 15% off. You also have a coupon that takes another $10 off. What percent of the original price do you pay?

Which of these methods could have been used to solve the problem?
CHECK

Solve the proportion: amount you pay$65
amount you pay
$65
= unknown percent100
unknown percent
100


Work backward by starting with $45.25, adding $10, and then adding 15% of $65.


Find the total amount you save with the 15% discount and the $10 coupon and subtract that from $65, the cost of the sweater.

Answer 1

I am a little bit confused by what it is asking in terms of choosing the correct method, so I will work through it and hope it answers your question, or comment and we can work through it together.

Original price = $65

Sale = 15%

Discount = $10

Take the sales price off first. There's a few ways to do this. You can multiply by the 15% and then subtract, or you can multiply by 85% because that is what would be left. Personally, I would do 85% because it is easier.

65 * 0.85 OR 65 *
`(85)/(100\\)`

55.25

Then subtract the $10 :

55.25 - 10

45.25

This is what you would pay. To find the percentage of the original price, we will plug in the new number over the old number, and then multiply by 100%:

`((45.25)/(65) )*100%\\\\69.62%`