# Difference between revisions of "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 $\boxed{\textbf{(C)}~\mathbf{1.18}~\textbf{dollars}}$.