Difference between revisions of "1980 AHSME Problems/Problem 1"
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The largest whole number such that seven times the number is less than 100 is | The largest whole number such that seven times the number is less than 100 is | ||
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<math>\text{(A)} \ 12 \qquad \text{(B)} \ 13 \qquad \text{(C)} \ 14 \qquad \text{(D)} \ 15 \qquad \text{(E)} \ 16</math> | <math>\text{(A)} \ 12 \qquad \text{(B)} \ 13 \qquad \text{(C)} \ 14 \qquad \text{(D)} \ 15 \qquad \text{(E)} \ 16</math> | ||
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| + | == Solution == | ||
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| + | We want to find the smallest integer <math>x</math> so that <math>7x < 100</math>. Dividing by 7 gets <math>x < 14\dfrac{2}{7}</math>, so the answer is 14. <math>\boxed{(C)}</math> | ||
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| + | == See also == | ||
| + | {{AHSME box|year=1980|before=First question|num-a=2}} | ||
| + | {{MAA Notice}} | ||
Latest revision as of 11:47, 5 July 2013
Problem
The largest whole number such that seven times the number is less than 100 is
Solution
We want to find the smallest integer 
so that 
. Dividing by 7 gets 
, so the answer is 14. 
See also
| 1980 AHSME (Problems • Answer Key • Resources) | ||
| Preceded by First question |
Followed by Problem 2 | |
| 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 • 26 • 27 • 28 • 29 • 30 | ||
| All AHSME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
