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Baking: Vanessa is baking chocolate chip cookies and oatmeal cookies. She needs 12cup of sugar for the chocolate chip cookies and 14of sugar for the oatmeal cookies. How much sugar does she need altogether?

Short Answer

Expert verified

The total amount of required for baking the chocolate chip cookies and the oatmeal cookies is 34.

Step by step solution

01

Step 1. Given information

For baking the chocolate chip cookies and the oatmeal cookies, 12cup of sugar for the chocolate chip cookies and 14of sugar for the oatmeal cookies are required.

02

Step 2. Find the total amount of sugar.

Assume the total amount of sugar required for baking be x.

The requirement of sugar for the chocolate chip cookies is 12.

The requirement of sugar for the oatmeal cookies is 14.

For baking the chocolate chip cookies and the oatmeal cookies, 12sugar for the chocolate chip cookies and 14of sugar for the oatmeal cookies are required.

Therefore, the total amount of sugar for baking is as follows:

x=12+14

03

Step 3. Solve for x.

Rewrite as equivalent fractions with the least common denominator, 4.

Therefore, multiply the numerator and denominator of each fraction by a factor to get the denominator 4.

x=12·22+14·11

Simplify.

x=24+14

Add the fractions.

x=34

Hence, the total amount of required for baking the chocolate chip cookies and the oatmeal cookies is 34.

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