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Ivan packed 56 apples and 72 pears 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 pears 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?

Respuesta :

To find how much money Ivan can earn selling fruit you will find what the greatest number of boxes of fruit he can make by finding the greatest common factor of 56 and 72.

Do the by listing the factors of each and find the greatest way they can divide.

56 - 1, 2, 4, 7, 8, 14, 28, 56
72 - 1, 2, 3,4, 6,8, 9,12, 18,36,72

8 is the biggest way to divide them, so

8 x $19.95 = $159.60

Ivan can earn $159.60.
fichoh

The greatest amount of money Ivan could earn by selling all the boxes of fruit is $159.60

The greatest number of fruits Ivan could pack into each box is the greatest common factor of both 56 and 72

Factors of :

  • 56 = 1, 2, 7, 8, 14, 28, 56
  • 72 = 1, 2, 3, 4, 6, 8, 9, 12, 18, 36, 72

The greatest factor common to both is 8 ; Hence, the Number of boxes that can be packed is 8

The amount that would be earned is :

Price per box × number of boxes

$19.95 × 8 = $159.60

Therefore, the greatest amount that could be earned is $159.60

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