Question

An overnight mail service charges $5.60 for the first 6 oz and $0.75 for each additional ounce or fraction of an ounce. Find the weight, in ounces, of a package that cost $14.60 to deliver.

Answer 1

The weight of the package is 12 ounces.

Explanation:

For the first 6 ounces, the cost is $5.60.

For each additional ounce or fraction of an ounce, the cost is $0.75.

We can write an equation to represent the cost in terms of the weight:

C = $5.60 (for the first 6 ounces) + $0.75 (for each additional ounce beyond 6 ounces)

Now, we want to find the weight of a package that cost $14.60 to deliver, so we have:

$14.60 = $5.60 + $0.75(W - 6)

Now, let's solve for W:

$14.60 = $5.60 + $0.75W - $0.75 * 6

First, subtract $5.60 from both sides:

$14.60 - $5.60 = $0.75W - $0.75 * 6

$9.00 = $0.75W

Now, divide both sides by $0.75 to isolate W:

W = $9.00 / $0.75

W = 12

So, the weight of the package is 12 ounces.