Chapter 4.4, Problem 79E

To determine

To find the greatest number of identical gift boxes that you can make.

Answer to Problem 79E

  $8$ peanut butter cookies, $10$ chocolate chips cookies and $7$ sugar cookies.

Explanation of Solution

Given information: $64,80,56$

Formula Used: Factorisation

Calculation:

Factorize the given number in its prime factor:

  $64=2\times 2\times 2\times 2\times 2\times 2$

  $80=2\times 2\times 2\times 2\times 5$

  $56=2\times 2\times 2\times 7$

Evaluate the greatest common factor of the given numbers:

GCF = $2\times 2\times 2$

GCF = 8.

A maximum of 8 identical boxes can be made each containing $\frac{64}{8}=8$ peanut butter cookies, $\frac{80}{8}=10$ chocolate chips cookies and $\frac{56}{8}=7$ sugar cookies.