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
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.
Let's say the weight of the package is x ounces.
According to the given information, the shipping charges for the first five ounces would be 62 cents.
For each additional ounce after the first five ounces, the charges are 8 cents.
To find the total charges for the package, we can set up the following equation:
62 + 8(x - 5) = 166
Simplifying this equation gives:
62 + 8x - 40 = 166
Combine like terms:
8x + 22 = 166
Subtract 22 from both sides:
8x = 144
Divide both sides by 8:
x = 18
The weight of the package is 18 ounces.
To convert this weight to pounds, since there are 16 ounces in a pound, we divide by 16:
18 / 16 = 1.125 pounds
Therefore, the weight of the package is 1 1/8 pounds.
Hence, the answer is C. 1 1/8.