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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

User Berkes
by
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1 Answer

6 votes

Answer:

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.

User Al Lelopath
by
8.9k points
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