Question

For a package to qualify for a certain postage rate, the sum of its length and girth cannot exceed 85 inches. If the girth is 63 inches, how long can the package be?

Answer 1

Length of package can be = 22 inches

Explanation:

Given:

For a package to qualify for a certain postage rate, the sum of its length and girth cannot exceed 85 inches

To find length of package when girth of package is = 63 inches

Solution:

Let length of package be =
`l` inches

Let girth length of package be =
`g` inches

Sum of length and girth of package =
`(l+g)` inches

To qualify for a certain postage rate the sum of length and girth should not exceed 85 inches.

Thus, the inequality representing the situation can be given as:

`l+g\leq 85`

We are given girth of package is = 63 inches

So, inequality to find length would be:

`l+63\leq 85`

Subtracting both sides by 63.

`l+63-63\leq 85-63`

`l\leq 22` inches

So, length should not exceed 22 inches in order to qualify.

Thus, the maximum length of package to qualify for the postal rate must be = 22 inches