Difference between revisions of "2004 AMC 10B Problems/Problem 3"
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==Problem== | ==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? | + | 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 <math>48</math> free throws. How many free throws did she make at the first practice? |
<math> \mathrm{(A) \ } 3 \qquad \mathrm{(B) \ } 6 \qquad \mathrm{(C) \ } 9 \qquad \mathrm{(D) \ } 12\qquad \mathrm{(E) \ } 15 </math> | <math> \mathrm{(A) \ } 3 \qquad \mathrm{(B) \ } 6 \qquad \mathrm{(C) \ } 9 \qquad \mathrm{(D) \ } 12\qquad \mathrm{(E) \ } 15 </math> | ||
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==Solution== | ==Solution== | ||
| − | At the fourth practice she made <math>48/2=24</math> throws, at the third one it was <math>24/2=12</math>, then we get <math>12/2=6</math> throws for the second practice, and finally <math>6/2=\boxed{3}</math> throws at the first one. | + | At the fourth practice she made <math>48/2=24</math> throws, at the third one it was <math>24/2=12</math>, then we get <math>12/2=6</math> throws for the second practice, and finally <math>6/2=3\Rightarrow\boxed{\mathrm{(A)}\ 3}</math> throws at the first one. |
== See also == | == See also == | ||
{{AMC10 box|year=2004|ab=B|num-b=2|num-a=4}} | {{AMC10 box|year=2004|ab=B|num-b=2|num-a=4}} | ||
| + | {{MAA Notice}} | ||
Latest revision as of 20:02, 22 July 2014
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 
free throws. How many free throws did she make at the first practice?
Solution
At the fourth practice she made 
throws, at the third one it was 
, then we get 
throws for the second practice, and finally 
throws at the first one.
See also
| 2004 AMC 10B (Problems • Answer Key • Resources) | ||
| Preceded by Problem 2 |
Followed by Problem 4 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AMC 10 Problems and Solutions | ||
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