SOLUTION: A messenger service charges $10 to make a delivery to an address. In addition, each letter delivered costs $3 and each package delivered cost $8. If there are 15 more letters than

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A messenger service charges $10 to make a delivery to an address. In addition, each letter delivered costs $3 and each package delivered cost $8. If there are 15 more letters than       Log On


   

Question 1147992: A messenger service charges $10 to make a delivery to an address. In addition, each letter delivered costs $3 and each package delivered cost $8. If there are 15 more letters than packages delivered to this address, what is the maximum number of items than can be delivered for $85?
Answer by greenestamps(13367) About Me  (Show Source):
You can put this solution on YOUR website!


Let the number of packages be x; then the number of letters is x+15.

The total cost is the delivery fee, plus $8 for each package and $3 for each letter; and the total cost has to be $85 or less.

10%2B8%28x%29%2B3%28x%2B15%29+%3C=+85

11x%2B55+%3C=+85
11x+%3C=+30

In this problem, x has to be an integer; the largest integer value of x that satisfies that inequality is x=2.

So the maximum number of items that can be delivered for $85 or less is

x+%2B+%28x%2B15%29+=+2%2B17+=+19