1990 AMC 8 Problem 13

Attempt Problem 13 of the 1990 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 1990 AMC 8 solutions, or check the answer key.

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13.

One proposal for new postage rates for a letter was 3030¢ for the first ounce and 2222¢ for each additional ounce (or fraction of an ounce). The postage for a letter weighing 4.54.5 ounces was

9696¢

$1.07

$1.18

$1.20

$1.40

Answer: C
Concepts:ratefloor and ceiling functions

Difficulty rating: 930

Solution:

The first ounce costs 3030¢. The remaining 3.53.5 ounces are charged as 44 additional ounces, since any fraction rounds up to a full ounce.

That is 4224 \cdot 22¢ =88= 88¢, so the total is 3030¢ +88+ 88¢ =118= 118¢ =$1.18.= \$1.18.

Thus, the correct answer is C .

← Problem 12#12Full ExamProblem 14#14 →

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