Difference between revisions of "1987 AJHSME Problems/Problem 15"
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==Problem== | ==Problem== | ||
| − | The sale ad read: "Buy three tires at the regular price and get the fourth tire for | + | The sale ad read: "Buy three tires at the regular price and get the fourth tire for 3 dollars." Sam paid 240 dollars for a set of four tires at the sale. What was the regular price of one tire? |
<math>\text{(A)}\ 59.25\text{ dollars} \qquad \text{(B)}\ 60\text{ dollars} \qquad \text{(C)}\ 70\text{ dollars} \qquad \text{(D)}\ 79\text{ dollars} \qquad \text{(E)}\ 80\text{ dollars}</math> | <math>\text{(A)}\ 59.25\text{ dollars} \qquad \text{(B)}\ 60\text{ dollars} \qquad \text{(C)}\ 70\text{ dollars} \qquad \text{(D)}\ 79\text{ dollars} \qquad \text{(E)}\ 80\text{ dollars}</math> | ||
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Let the regular price of one tire be <math>x</math>. We have | Let the regular price of one tire be <math>x</math>. We have | ||
<cmath>\begin{align*} | <cmath>\begin{align*} | ||
| − | 3x+3=240 &\Rightarrow 3x= | + | 3x+3=240 &\Rightarrow 3x=237 \\ |
&\Rightarrow x=79 | &\Rightarrow x=79 | ||
\end{align*}</cmath> | \end{align*}</cmath> | ||
<math>\boxed{\text{D}}</math> | <math>\boxed{\text{D}}</math> | ||
| + | Good Job! | ||
==See Also== | ==See Also== | ||
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{{AJHSME box|year=1987|num-b=14|num-a=16}} | {{AJHSME box|year=1987|num-b=14|num-a=16}} | ||
[[Category:Introductory Algebra Problems]] | [[Category:Introductory Algebra Problems]] | ||
| + | {{MAA Notice}} | ||
Latest revision as of 15:40, 30 July 2023
Problem
The sale ad read: "Buy three tires at the regular price and get the fourth tire for 3 dollars." Sam paid 240 dollars for a set of four tires at the sale. What was the regular price of one tire?
Solution
Let the regular price of one tire be 
. We have
Good Job!
See Also
| 1987 AJHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 14 |
Followed by Problem 16 | |
| 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. 
