Question

Jamie and Stella are saving money to sign up for a school trip to Washington, D.C. In order to sign up for the trip, they must pay $600 upfront. Jamie earns his money by washing cars for $25 each. Stella earns her money by making pecan pies for $15 each. Jamie earns more money than Stella does because Stella only has enough supplies to make 40 pies. Let x represent the number of cars Jamie washes. Let y represent the number of pies Stella makes.

Part 1: Write a constraint (an inequality) to represent how much money Jamie needs for his trip.

Part 2: Write a constraint (an inequality) to represent how much money Stella needs for her trip.

Part 3: Write a constraint (an inequality) to represent the relationship between Jamie's earnings and Stella's earnings.

Part 4: Can Stella afford to sign up for the trip with the money she earns? Explain your answer and show any work that might support your answer.

Answer 1

1. Let, Jamie needs "$ g" for the trip. Then, according to the question,

g = 600 -------------------(1)

2. Let, Stella needs "$ m" for the trip. Then, according to the question,

m = 600 -------------(2)

3. If Jamie washes x no. of cars and Stella makes y no. of pies, then,

25x ≥ 600 ≥ 15y -------------(3)

4. Yes, Stella can afford to sign up for the trip with the money she earns.

Explanation:

Let, Jamie needs "$ g" for the trip. Then, according to the question,

g = 600 -------------------(1)

Let, Stella needs "$ m" for the trip. Then, according to the question,

m = 600 -------------(2)

if Jamie washes x no. of cars for $25 each and Stella makes y no. of pies

for $ 15 each, then, according to the question,

25x ≥ 600 ≥ 15y -------------(3)

Yes, Stella can afford to sign up for the trip with the money she earns. Because, she can make at most 40 pies for $15 each and

$
`40 * 15` = $ 600 = The amount of money Stella needs for the trip.