Question

Jacob and Sarah are saving money to go on a trip. They need at least $2000 in order to go. Jacob mows lawns and Sarah walks dogs to raise money. Jacob charges $20 each time he mows a lawn and Sarah charges $10 each time she walks a dog.

Write an inequality to model the problem, with x representing the number of lawns mowed and y representing the number of dogs walked.

Answer 1

`20x+10y\ge 2000`

Explanation:

Let x represent the number of lawns Jacob mowed and y represent the number of dogs Sarah walked.

Jacob charges $20 each time he mows a lawn, then he earns $20x for x lawns mowed.

Sarah charges $10 each time she walks a dog, then she earns $10y for y dogs walked.

In total, they will earn $(20x + 10y). They need at least $2000 in order to go on a trip, then

`20x+10y\ge 2000`

Note that
`x\ge 0,\ y\ge 0.`