Question

Destiny just received two separate gifts from her great-great-grandmother. The first gift is a box of [18] chocolate bars and the second is a packet of [12] cookies. Destiny wants to use all the chocolate bars and cookies to make identical candy bags for her cousins. How many candy bags can Destiny make if each bag contains an equal number of chocolate bars and cookies?

Answer 1

Destiny can make 6 identical candy bags with 3 chocolate bars and 2 cookies in each bag by finding the GCD of 18 and 12, which is 6.

Step-by-step explanation:

Destiny can determine how many identical candy bags she can make by finding the greatest common divisor (GCD) of the number of chocolate bars and cookies she has. The GCD will tell us the largest number of candy bags that can be made where each bag has the same number of chocolate bars and cookies without any leftovers.

In this case, Destiny has 18 chocolate bars and 12 cookies. The GCD of 18 and 12 is 6, which means that Destiny can make 6 identical candy bags. So, she will have 3 chocolate bars and 2 cookies in each bag (18 chocolate bars / 6 = 3 per bag and 12 cookies / 6 = 2 per bag).