# Cupcake word problem

Ms. Clark put icing on 1/3 of a batch of cupcakes. She let Mackenzie put icing on 1/4 of the remaining cupcakes.

A. What fraction of all of the cupcakes did Mackenzie out icing on?

B. What fraction of the cupcakes have no icing?

Solution

A. If Ms. Clark put icing on 1/3 of a batch of cupcakes, then 1 - 1/3 of the batch of cupcakes do not have icing.

1 - 1/3 = 3/3 - 1/3 = 2/3

Then, Mackenzie put icing on 1/4 of 2/3.

1/4 of 2/3 = 1/4 × 2/3 = 2/12 = 1/6

Mackenzie put icing on 1/6 of the batch of cupcakes.

B.

Clark and Mackenzie put icing on 1/3 and 1/6 of the batch of cupcakes.

1/3 + 1/6 = 2/6 + 1/6 = 3/6 = 1/2

Clark and Mackenzie put icing on 1/2 of the batch of cupcakes.

The fraction of the cupcakes that have no icing is 1 - 1/2.

1 - 1/2 = 2/2 - 1/2 = 1/2

The fraction of the cupcakes that have no icing is 1/2.

## Recent Articles

1. ### How To Find The Factors Of 20: A Simple Way

Sep 17, 23 09:46 AM

There are many ways to find the factors of 20. A simple way is to...

2. ### The SAT Math Test: How To Be Prepared To Face It And Survive

Jun 09, 23 12:04 PM

The SAT Math section is known for being difficult. But it doesn’t have to be. Learn how to be prepared and complete the section with confidence here.