Question

3. Jacob and Sarah are saving money to go on a trip. They need at least $1875 in order to go. Jacob mows lawns and Sarah walks dogs to raise money. Jacob charges $23 each time he mows a lawn and Sarah charges $12 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.

1

Answer 1

Answer:

(Answer by pinkrara )

Answer: The total money needed = $1975

Let Jacob mow x lawns

Money earned by Jacob = 25x

Dog walks by Sarah ≤ 4x

Money earned by Sarah ≤ 60x

Total earned by both:

1975 = 25x + 60x

1975 = 85x

Jacob must mow at least (x) 24 lawns

Sarah then must walk at least

4 (24)

= 96 dogs

Step-by-step explanation: