Difference between revisions of "1985 AJHSME Problems/Problem 18"
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==Problem== | ==Problem== | ||
− | Nine copies of a certain pamphlet cost less than <dollar/><math>10.00</math> while ten copies of the same pamphlet (at the same price) cost more than | + | Nine copies of a certain pamphlet cost less than <dollar/><math>10.00</math> while ten copies of the same pamphlet (at the same price) cost more than <math>\dollar 11.00</math>. How much does one copy of this pamphlet cost? |
<math>\text{(A)}</math> <math>$1.07</math> | <math>\text{(A)}</math> <math>$1.07</math> |
Revision as of 11:38, 30 August 2015
Problem
Nine copies of a certain pamphlet cost less than <dollar/> while ten copies of the same pamphlet (at the same price) cost more than $\dollar 11.00$ (Error compiling LaTeX. Unknown error_msg). How much does one copy of this pamphlet cost?
Solution
Let be the cost of the first pamphlet, in dollars. The first part tells us
The second part tells us that
Combining these two parts, the only possible value for is , since represents a monetary value.
See Also
1985 AJHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 17 |
Followed by Problem 19 | |
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.