2004 AMC 12B Problems/Problem 1

Problem

At each basketball practice last week, Jenny made twice as many free throws as she made at the previous practice. At her fifth practice she made $48$ free throws. How many free throws did she make at the first practice?

$\mathrm {(A)} 3 \qquad \mathrm {(B)} 6\qquad \mathrm {(C)} 9 \qquad \mathrm {(D)} 12 \qquad \mathrm {(E)} 15$

Solution

Each day Jenny makes half as many free throws as she does at the next practice. Hence on the fourth day she made $\frac{1}{2} \cdot 48 = 24$ free throws, on the third $12$ , on the second $6$ , and on the first $3 \Rightarrow \mathrm{(A)}$ .

2004 AMC 12B (Problems • Answer Key • Resources)
Preceded by First Question	Followed by Problem 2
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2004 AMC 12B Problems/Problem 1

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