Question

4a. Riley is buying things for a holiday party that she is having. She wants to make a cheese and cracker appetizer; every cracker will have a piece of cheese. If crackers come in sleeves of 24 and cheese slices come in packages of 16, what is the least number of cheese and cracker appetizers can she make, so that every cracker has a piece of cheese arld there are no left overs?4b. How many sleeves of crackers will she need to buy?4c How many cheese slices will she need to buy?

Answer 1

4a.

We can get the least number by taking LCM of 24 and 16.

We list each of the numbers as prime factors and take the mutiplication of each unique prime factor that occurs the greatest number of times.

24 = 2 * 2 * 2 * 3

16 = 2 * 2 * 2 * 2

So,

2 occurs four times

3 occurs 1 times

LCM of 24 and 16 is:

2 * 2 * 2 * 2 * 3 = 48

Least number of cheese and cracker appetizer = 48

4b.

Sleeves are sold in 24.

So, to get 48, she would need to buy:

48/24 = 2 sleeves

4c.

Cheese slices comes in packages of 16. So she needs to buy:

48/16 = 3 packages of cheese