Difference between revisions of "1997 AJHSME Problems/Problem 22"
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==Solution 2== | ==Solution 2== | ||
| − | Since price is proportional to the amount (or volume) of silver, | + | Since price is directly proportional to the amount (or volume) of silver, we must have a constant quotient. |
Setting up a proportion: | Setting up a proportion: | ||
Revision as of 09:55, 27 May 2021
Contents
Problem
A two-inch cube 
of silver weighs 3 pounds and is worth 200. How much is a three-inch cube of silver worth?
Solution 1
The 2x2x2 cube of silver can be divided into 
equal cubes that are 1x1x1. Each smaller cube is worth 
dollars.
To create a 3x3x3 cube of silver, you need 
of those 1x1x1 cubes. The cost of those cubes is 
dollars, which is answer 
Solution 2
Since price is directly proportional to the amount (or volume) of silver, we must have a constant quotient.
Setting up a proportion:
, which is answer
See also
| 1997 AJHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 21 |
Followed by Problem 23 | |
| 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 | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
