Difference between revisions of "1980 AHSME Problems/Problem 1"

Revision as of 03:07, 25 June 2025

The largest whole number such that seven times the number is less than 100 is

$\text{(A)} \ 12 \qquad \text{(B)} \ 13 \qquad \text{(C)} \ 14 \qquad \text{(D)} \ 15 \qquad \text{(E)} \ 16$

We want to find the largest integer $x$ so that $7x < 100$ . Dividing by 7 gets $x < 14\dfrac{2}{7}$ , so the answer is 14. $\boxed{(C)}$

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

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 == Solution ==
-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>
+We want to find the largest 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>
 == See also ==
 {{AHSME box|year=1980|before=First question|num-a=2}}
 {{MAA Notice}}