Question

Three people are eating a box of cookies. Caroline ate half the number

of cookies that Sherwyn did, and Sherwyn ate 4 times as many as
Laura. What fraction of the cookies did Sherwyn eat?

Answer 1

To find the fraction of cookies that Sherwyn ate, we need to calculate the number of cookies each person ate. Sherwyn ate 4 times as many cookies as Laura, and Caroline ate half the number of cookies that Sherwyn did.

Step-by-step explanation:

To find the fraction of cookies that Sherwyn ate, we need to calculate the number of cookies each person ate. Let's assign a variable to represent the total number of cookies in the box, such as x. According to the information given, Sherwyn ate 4 times as many cookies as Laura, and Caroline ate half the number of cookies that Sherwyn did.

Let's break down the information:

Laura = x cookies

Sherwyn = 4 * Laura = 4x cookies

Caroline = (1/2) * Sherwyn = (1/2) * 4x = 2x cookies

Now, to find the fraction of cookies that Sherwyn ate, we divide the number of cookies Sherwyn ate by the total number of cookies in the box:

Fraction = Sherwyn / Total = (4x) / x = 4

Therefore, Sherwyn ate 4/1 or 4 of the cookies.