Difference between revisions of "2002 AMC 8 Problems/Problem 13"
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| + | ==Problem== | ||
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For his birthday, Bert gets a box that holds 125 jellybeans when filled to capacity. A few weeks later, Carrie gets a larger box full of jellybeans. Her box is twice as high, twice as wide and twice as long as Bert's. Approximately, how many jellybeans did Carrie get? | For his birthday, Bert gets a box that holds 125 jellybeans when filled to capacity. A few weeks later, Carrie gets a larger box full of jellybeans. Her box is twice as high, twice as wide and twice as long as Bert's. Approximately, how many jellybeans did Carrie get? | ||
<math> \text{(A)}\ 250\qquad\text{(B)}\ 500\qquad\text{(C)}\ 625\qquad\text{(D)}\ 750\qquad\text{(E)}\ 1000 </math> | <math> \text{(A)}\ 250\qquad\text{(B)}\ 500\qquad\text{(C)}\ 625\qquad\text{(D)}\ 750\qquad\text{(E)}\ 1000 </math> | ||
| + | |||
| + | ==Solution== | ||
| + | Assume Bert's box is <math>1 \times 1 \times 1</math> which is <math>1</math> cubic meter. Then his box holds <math>125</math> jellybeans per cubic meter. Carrie has a box that is <math>2 \times 2 \times 2</math> which is <math>8</math> cubic meters. Her box holds eight times as many jellybeans as Carrie's which is <math>(8)(125)=\boxed{\text{(E)}\ 1000}</math>. | ||
| + | |||
| + | ==See Also== | ||
| + | {{AMC8 box|year=2002|num-b=12|num-a=14}} | ||
Revision as of 18:42, 23 December 2012
Problem
For his birthday, Bert gets a box that holds 125 jellybeans when filled to capacity. A few weeks later, Carrie gets a larger box full of jellybeans. Her box is twice as high, twice as wide and twice as long as Bert's. Approximately, how many jellybeans did Carrie get?
Solution
Assume Bert's box is 
which is 
cubic meter. Then his box holds 
jellybeans per cubic meter. Carrie has a box that is 
which is 
cubic meters. Her box holds eight times as many jellybeans as Carrie's which is 
.
See Also
| 2002 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 12 |
Followed by Problem 14 | |
| 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 AJHSME/AMC 8 Problems and Solutions | ||
