1989 AMC 8 Problem 7

Attempt Problem 7 of the 1989 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 1989 AMC 8 solutions, or check the answer key.

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

7.

The value of 2020 quarters and 1010 dimes equals the value of 1010 quarters and nn dimes. What is n?n?
1010
2020
3030
3535
4545
Answer: D
Concepts:moneylinear equation
Small hint:
First find the total value of 2020 quarters and 1010 dimes
Big hint:
After using 1010 quarters, find how much value the remaining dimes must supply, then divide by 1010¢
Solution:
The value of 2020 quarters and 1010 dimes is $5.00+$1.00=$6.00.\$5.00 + \$1.00 = \$6.00.
Ten quarters are worth $2.50,\$2.50, so the nn dimes must supply $6.00−$2.50=$3.50.\$6.00 - \$2.50 = \$3.50. That is 3535 dimes, so n=35.n = 35.
Thus, the correct answer is D .
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