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

The correct answer is 56 chews

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,

`(35)/(100)* 160=56`

There are 56 grape fruit chews.