1990 AJHSME Problems/Problem 13

Problem

One proposal for new postage rates for a letter was $30$ cents for the first ounce and $22$ cents for each additional ounce (or fraction of an ounce). The postage for a letter weighing $4.5$ ounces was

$\text{(A)}\ \text{96 cents} \qquad \text{(B)}\ \text{1.07 dollars} \qquad \text{(C)}\ \text{1.18 dollars} \qquad \text{(D)}\ \text{1.20 dollars} \qquad \text{(E)}\ \text{1.40 dollars}$

Solution

After the first ounce, there are $3.5$ ounces left. Thus, it is required to pay for $3$ ounces and then the extra half.

The total price is $30+4\times 22=107$ cents. The extra half is charged because in the problem it says, "or for a a fraction of an ounce". So, you need to add 22. The answer is choice $\boxed{\textbf{(B)}~\mathbf{1.07}~\textbf{dollars}}$ .

1990 AJHSME (Problems • Answer Key • Resources)
Preceded by Problem 12	Followed by Problem 14
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25
All AJHSME/AMC 8 Problems and Solutions

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1990 AJHSME Problems/Problem 13

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