Match the following equation to the correct situation.

s − s(17%) = s(83%)
A.
the amount Doug gave to the local heart association was 17% of s

B.
the amount that Katie paid for a pair of jeans with 17% tax on s

C.
the amount that Anis owes on his car was 17% of s

D.
the price for a shirt that originally cost s after a 17% discount

1 answer

The equation \( s - s(17%) = s(83%) \) can be rearranged as follows:

  1. \( s(17%) \) represents 17% of the original amount \( s \).
  2. When we subtract \( s(17%) \) from \( s \), we are left with \( s(83%) \), which means we retain 83% of \( s \).

This matches the situation where the price of an item is reduced by 17%, making the retained value 83% of the original price.

Thus, the correct answer is:

D. the price for a shirt that originally cost s after a 17% discount.