A jacket has an original price of \(\$75\) and is on sale for \(20\%\) off. Evaluate every statement below as a representation or solution of the situation.
A. The discount amount is \(0.20~\times~75\).
B. The sale price is \(75~-~15\).
C. The sale price is \(0.80~\times~75\).
D. The discount amount is \(\$60\).
E. The customer saves \(\$15\).
F. The total after the discount is \(75~+~15\).
Include every statement that is correct.
What this problem is really about
A percent-off situation has two different outputs: the discount removed and the sale price that remains. We’ll find the discount from the original price, derive the sale price both by subtraction and by the complementary percent, and keep each value tied to its meaning. The two routes should agree, while adding a discount would contradict the situation.