Question

Richard’s store sells pineapples and grapefruits. Pineapples originally cost $5.15 apiece, and grapefruits originally cost $2.25 apiece. Richard reduced the prices to $3.88 for a pineapple and $1.56 for a grapefruit. Which fruit had its price reduced by a greater percent, and how many percentage points greater was that reduction than the other? Round to two decimal places. (Express your answer in percentage points; for example, 15% is 3 percentage points greater than 12%.)

a. The price of pineapples experienced a reduction 5.99 percentage points greater than the price of grapefruits.

b. The price of pineapples experienced a reduction 19.90 percentage points greater than the price of grapefruits.

c. The price of grapefruits experienced a reduction 6.01 percentage points greater than the price of pineapples.

d. The price of grapefruits experienced a reduction 11.50 percentage points greater than the price of pineapples.

Answer 1

the answer is c. just finished the test.

Answer 2

Answer: c. The price of grapefruits experienced a reduction 6.01 percentage points greater than the price of pineapples.

Step-by-step explanation:

Given: The original cost of pineapples = $5.15

The original cost of grapefruits = $2.25

After reduction in price, the new price of pineapple = $3.88

Change in price of pineapple =$\ 5.15-\ 3.88=\ 1.27$

Percentage change in price of pineapple=$\frac{1.27}{5.15}\times100= 0.246601941748\approx24.66\%$

The new price of grapefruit = $1.56

Change in price of grapefruit = $\ 2.25-\ 1.56=\ 0.69$

 Percentage change in price of grapefruit =$\frac{0.69}{2.25}\times100=30.666667\approx30.67\%$

Difference in percentage =$30.67\%-24.66\%=6.01\%$

Therefore, the price of grapefruits experienced a reduction 6.01 percentage points greater than the price of pineapples.