2009 AMC 8 Problems/Problem 1

Problem

Bridget bought a bag of apples at the grocery store. She gave half of the apples to Ann. Then she gave Cassie 3 apples, keeping 4 apples for herself. How many apples did Bridget buy?

$\textbf{(A)}\ 3\qquad\textbf{(B)}\ 4\qquad\textbf{(C)}\ 7\qquad\textbf{(D)}\ 11\qquad\textbf{(E)}\ 14$

Solution

We can work backwards to solve the problem. Bridget had 7 apples before she gave Cassie 3 apples. These 7 apples were half of Bridget’s 14 original apples. So the answer is .

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2009 AMC 8 Problems/Problem 1

Problem

Solution