Question

A store has a display case with cherry peach and grapefruit juice there are a hundred sixty fruit shoes in the display case given that 25% of the fruit chews are cherry and 40% are peach how many grape fruit chews are in this display case

Answer 1

Answer:

The correct answer is 56 chews

Step-by-step explanation:

Step 1:

Realize that the sum of all percentages should add up to 100%. We will use this information  to determine the percentage of the chews that are grape fruit. Let x be the percentage of the chews that are grape fruit, the following equation holds true,

$25\%+65\%+x=100\%....(1)$

Step 2

The next step is to solve equation (1) for the value of x to determine the percentage of the chews that are grape fruit. This is done as shown below,

$25\%+40\%+x=100\%\\\implies 65\%+x=100\%\\\implies x=100\%-65\%\\\implies x=35\%$

We have determined that 35% of the chews are grape fruit chews.

Step 3

The next step is to compute 35% of 160 fruit chews to determine the number of grape fruit chews. This is done as show below,

$\frac{35}{100}\times 160=56$

There are 56 grape fruit chews.