If shipping charges to certain point 62 cents for the first five ounces and 8 cents for each additional ounce, the weight of a package, in pounds, for which the charges are $1.66 is

A.7/8
B.1
C.1 1/8
D.1 1/4
E.1 1/2

1 answer

We start by converting all the given values into ounces. We have 62 cents for the first 5 ounces, which is a rate of 12.4 cents per ounce. This means that any weight up to 5 ounces will cost 12.4 cents per ounce.

For any weight above 5 ounces, we have a rate of 8 cents per additional ounce.

Let's say the weight of the package is x ounces. Then we can set up the following equation:

12.4(5) + 8(x-5) = 166

Simplifying this equation:

62 + 8x - 40 = 166

8x = 144

x = 18

So the weight of the package is 18 ounces, or 1 and 1/8 pounds.

Therefore, the answer is (C) 1 1/8.