Question

A chocolatier has 90 pieces of milk chocolate, 35 pieces of dark chocolate, and 60 pieces of white chocolate. If he makes the greatest number possible of identical boxes of chocolate using all the chocolates, how many pieces of milk chocolate will be in each box? A) 3 B) C) 6 D) 12 E) 18

Answer 1

We will determine the number of boxes as follows:

*We determine the greatest common factor of 90, 35, and 60. Which is the following:

We factor the numbers 90, 60 & 35:

90 = 2 * 3^2 * 5

60 = 2^2 * 3 * 5

35 = 5 * 7

Now, we build the factor table.

Factor | 90 | 60 | 35 | gcf

2 | 1 | 2 | 0 | 0

3 | 2 | 1 | 0 | 0

5 | 1 | 1 | 1 | 1

7 | 0 | 0 | 1 | 0

So, the number of boxes will be 5.