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 LaTeX: xx represent the number of cars Jamie washes. Let LaTeX: yy 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.

Question

Mathematics

Tamia Jacobs

9 December, 20:55

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 LaTeX: xx represent the number of cars Jamie washes. Let LaTeX: yy 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.

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Answers (1)

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Kahlua · Answer 1

Part 1:

25x = 600 (Multiply the number of cars he washes by the price, this needs to equal the amount he needs for the trip.)

Part 2:

15y = 600 (Multiply the number of pies she makes by the price, this needs to equal the amount she needs for the trip.)

Part 3:

25x > 15 (The problem states Jamie earns more than Stella)

Part 4:

Stella can bake 40 pies, replace y with 40 and solve:

15y = 600

15 (40) = 600

600 = 600

She earns $600 which is what is needed for the trip, so she can afford to sign up.