Question

Lauren is making candy bags for halloween. She has 24 lollipops, 12 candy bars, and 42 pieces of gum. She wants each bag to have the same number of each kind of candy. What is the greatest number if bags she can make if all the candy is being used? How many pieces of each candy will be in each bag.

Answer 1

Answer:

a) 6 bags

b)

4 lollipops per bag

2 candy bars per bag

7 pieces of gum per bag

Step-by-step explanation:

She wants each bag to have the same number of each kind of candy.

a) What is the greatest number if bags she can make if all the candy is being used?

We solve the above question using Greatest Common Factor method

The first step would be to find the factors of 12, 24 and 42

The factors of 12 are: 1, 2, 3, 4, 6, 12

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24

The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42

Then the greatest common factor is 6.

Therefore, the greatest number of bags she can make if all the candy is being used is 6 bags.

b) How many pieces of each candy will be in each bag.

We are told that:

She has 24 lollipops, 12 candy bars, and 42 pieces of gum.

Hence,

For Lollipops = 24 lollipops ÷ 6 bags = 4 lollipops per bag

For Candy bars = 12 candy bars ÷ 6 bags = 2 candy bars per bag

For gum = 42 pieces of gum ÷ 6 bags =

7 pieces of gum per bag