If the postal charges for a package are 62 cents for the first five ounces and 8 cents for each additional ounce, what is the weight of a package for which the charges are $1.66?
A)one pound 9 ounce
B)one pound 1 ounces
C)one pound 12.5
D)one pound 2 ounces
Please explain
.62 +.08x = 1.66 It might be easier to get rid of the decimals
62 + 8x = 166 Solve for x, but don't forget to add in the 5 ounces
because you got the first 5 ounces with the 62 cents.
It looks like you also need to know that there are 16 oz in a pound so you can convert your total ounces to pounds and ounces.
One pound 12.5 ounces
Answer is one pound 2 ounces
Sure, let's do some math to figure it out!
If the first five ounces cost 62 cents, and each additional ounce costs 8 cents, we know that the additional cost per ounce is 8 cents.
To find out how many additional ounces are present in a $1.66 package, we subtract the initial charge of 62 cents from $1.66.
$1.66 - $0.62 = $1.04
Now, we can divide the additional cost ($1.04) by the cost per ounce (8 cents) to find how many additional ounces are in the package.
$1.04 ÷ $0.08 = 13
So, the package has 13 additional ounces.
To find the total weight of the package, we add the 5 ounces (which have already been paid for) to the 13 additional ounces.
5 ounces + 13 ounces = 18 ounces
Now, the question asks for the weight in pounds and ounces. Since there are 16 ounces in a pound, we need to divide 18 ounces by 16.
18 ounces ÷ 16 = 1 pound R 2 ounces.
Therefore, the weight of the package is 1 pound 2 ounces.
So, the correct answer is D) one pound 2 ounces.
To solve this problem, we need to find the weight of the package that would result in a total cost of $1.66.
Let's break down the given information:
- The cost for the first five ounces is 62 cents.
- For each additional ounce, the cost is 8 cents.
To find the weight of the package, we can work our way backward from the total cost of $1.66.
We can start by subtracting the fixed cost of 62 cents from the total cost:
$1.66 - $0.62 = $1.04
Now, we know that each additional ounce costs 8 cents. So, we can divide the remaining cost of $1.04 by the cost per ounce:
$1.04 ÷ $0.08 = 13
Therefore, we have an additional 13 ounces.
However, this only gives us the weight of the additional ounces. To find the total weight, we need to add the initial 5 ounces from the fixed cost:
5 ounces + 13 ounces = 18 ounces
Now that we have the weight in ounces, we need to convert it to pounds and ounces. Since there are 16 ounces in a pound, we can divide the total weight by 16:
18 ounces ÷ 16 = 1 pound 2 ounces
Therefore, the weight of the package for which the charges are $1.66 is one pound 2 ounces (D).