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." Sam paid $240 for a set of four tires at the sale. What was the regular price of one tire?

$59.25

$60

$70

$79

$80

Answer: D
Concepts:work backwards

Difficulty rating: 860

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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