1995 AMC 12 Problem 3

Attempt Problem 3 of the 1995 AMC 12 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 1995 AMC 12 solutions, or check the answer key.

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

3.

The total in-store price for an appliance is $99.99.\$99.99. A television commercial advertises the same product for three easy payments of $29.98\$29.98 and a one-time shipping and handling charge of $9.98.\$9.98. How much is saved by buying the appliance from the television advertiser?
66 cents
77 cents
88 cents
99 cents
1010 cents
Answer: B
Concepts:decimal arithmeticunit prices
Small hint:
Add all three payments and the one-time charge
Big hint:
Subtract the advertised total from the in-store price and convert dollars to cents
Solution:
The advertised total is 3(29.98)+9.98=99.923(29.98)+9.98=99.92 dollars. The savings is 99.99−99.92=0.0799.99-99.92=0.07 dollars, or 77 cents. Thus the correct answer is B.
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