1987 AMC 8 Problem 15

Attempt Problem 15 of the 1987 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1987 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

15.

A sale ad read: “Buy three tires at the regular price and get the fourth tire for $3.\$3.” Sam paid $240\$240 for a set of four tires at the sale. What was the regular price of one tire?
$59.25\$59.25
$60\$60
$70\$70
$79\$79
$80\$80
Answer: D
Concepts:work backwards
Small hint:
The $240\$240 covers three tires at the regular price plus $3\$3 for the fourth
Big hint:
Subtract the $3,\$3, then divide the rest among the three full-price tires
Solution:
The three regular-price tires cost $240−$3=$237.\$240 - \$3 = \$237.
So one tire costs $2373=$79.\dfrac{\$237}{3} = \$79.
Thus, the correct answer is D .
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