Difference between revisions of "1960 AHSME Problems/Problem 29"
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Five times <math>A</math>'s money added to <math>B</math>'s money is more than <math>\$51.00</math>. Three times <math>A</math>'s money minus <math>B</math>'s money is <math>\$21.00</math>. | Five times <math>A</math>'s money added to <math>B</math>'s money is more than <math>\$51.00</math>. Three times <math>A</math>'s money minus <math>B</math>'s money is <math>\$21.00</math>. |
Revision as of 18:35, 12 May 2018
Problem
Five times 's money added to 's money is more than . Three times 's money minus 's money is . If represents 's money in dollars and represents 's money in dollars, then:
Solution
Use math symbols to write an equation and an inequality based on the conditions in the problem. From the second equation, and .
Substituting in the inequality results in
Substituting in the inequality results in
The answer is .
See Also
1960 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 28 |
Followed by Problem 30 | |
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All AHSME Problems and Solutions |