Question

3. Jacob and Sarah are saving money to go on a trip. They need at least $1975 in order to go. Jacob mows lawns and Sarah walks dogs to raise money. Jacob charges $25 each time he mows a lawn and Sarah charges $15 each time she walks a dog. The number of dog walks that Sarah has scheduled is no more than four times the number of lawns Jacob has scheduled to mow. Sarah will walk at least 50 dogs. Write a set of constraints to model the problem, with x representing the number of lawns mowed and y representing the number of dogs walked.

Answer 1

1. The total must be at least $1975:    $25x+15y \geq \ 1975$

2. Dog walks is no more than 4 times lawns: $y \leq 4x$

3. At least 50 dog walks:  $y \geq 50$