Question

At Fruits R Us, Mr. Orchard realizes that dried pineapple slices and dried apricots were two of his top dried fruit sellers. So he decided to make a mixture of the two. The dried pineapple slices sell for $5 per pound and the dried apricots sell for $8 per pound. If the store owner wants to make 300 pounds of the fruit mixture to sell at $7 per pound, how much of each type of fruit should be used to make the mixture.

Answer 1

Explanation:

From the information given, you can write the following equations:

x+y=300 (1)

5x+8y=300*7

5x+8y=2100(2)

First, you can isolate x in (1):

x=300-y (3)

Now, you can replace (3) in (2):

5(300-y)+8y=2100

1500-5y+8y=2100

3y=2100-1500

y=600/3

y=200

Then, you can replace the value of y in (3) to find x:

x=300-200

x=100

According to this, the answer is that he should use 100 pounds of dried pineapple and 200 pounds of dried apricots.