Bunuel wrote:
If Antonio bought two half-gallon cartons of ice cream during a special sale, what percent of the total regular price of the two cartons did he save?
(1) Antonio paid the regular price for the first carton and received the second carton for half the regular price.
(2) The regular price of the ice cream Antonio bought was $4.00 per half-gallon carton.
Solution: Note: considering that both the "cartons" of ice cream are the same and have the same regular price.
Pre-Analysis: Antonio bought two half-gallon cartons of ice cream during a special sale. This means he must have received some sort of discount.
We are asked the percent of the total regular price of the two cartons which he saved.
Statement 1: Antonio paid the regular price for the first carton and received the second carton for half the regular price
Let the regular price of each carton be $100.
Amount Antonio paid for 1st carton \(= $100\)
Amount Antonio paid for 2nd carton \(= \frac{100}{2}=$50 \)
Percentage Antonio saved \(= \frac{total.regular.price-amount.Antonio.paid}{total.regular.price} \times 100=\frac{200-150}{200}\times 100=\frac{50}{200}\times 100=25\%\)
Thus,
statement 1 alone is sufficient and we can eliminate options B, C and E.
Statement 2: The regular price of the ice cream Antonio bought was $4.00 per half-gallon carton
From this, we can just get the regular price of both cartons but not the amount which Antonio pays for the same.
Thus,
statement 2 alone is not sufficient.
Hence the right answer is
Option A