### Home > AC > Chapter 9 > Lesson 9.3.3 > Problem9-82

9-82.

The town you live in has decided to limit the amount of trash thrown out each month. Your town, which has 3280 homes, has asked each household to keep track of how many pounds of trash they produce during a month. In addition, the town council has found that other sources of trash, such as local businesses, combine to create $1500$ lbs of trash each month. If the town has a goal of creating less than $50,000$ lbs of trash, how much trash should a household be limited to? Write an inequality for this situation and solve it.

Write an inequality for which x is the amount of trash per house.
$50,000 \gt 3280x + 1500$

Solve for $x$.
$48,500 \gt 3280x$
$14.7876 \gt x$

$x = \text{ less than } 14.8 \text{ pounds|}$