Question
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
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
Answers
GPT-4o mini
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.**
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.**