Question

Ivan packed 56 apples and 72 pairs into boxes he packed both apples and pears into each box he put the same number of apples into every box and the same number of pairs into every box he sold each box for $19.95 what is the greatest amount of money Ivan could earn selling all the boxes of fruit

Answer 1

To find the greatest amount of money Ivan could earn selling all the boxes of fruit, we need to determine how many apples and pairs are in each box and then calculate the total earnings.

First, find the greatest common divisor (GCD) of 56 (apples) and 72 (pairs):

GCD(56, 72) = 8

This means that Ivan can pack 8 apples and 8 pairs into each box.

Now, calculate how many boxes he can create:

Number of boxes = (Total number of apples) / (Number of apples per box) = 56 / 8 = 7 boxes

And the same number of pairs:

Number of boxes = (Total number of pairs) / (Number of pairs per box) = 72 / 8 = 9 boxes

Since he can create 7 boxes of apples and 9 boxes of pairs, he will sell the smaller of the two quantities, which is 7 boxes. Each box is sold for $19.95.

Total earnings = (Number of boxes) * (Price per box) = 7 * $19.95 = $139.65

So, the greatest amount of money Ivan could earn by selling all the boxes of fruit is $139.65.