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

Osvaldo Valencia

16 August, 04:13

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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Hanson · 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.