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22 June, 20:15

4. Gavin and Seiji both worked hard over the summer. Together, they earned a total of $425. Gavin earned $25 more than Seiji. How much did each of them earn?

a. Write a system of two equations with two variables to model this problem.

b. Use substitution or the elimination method to solve the system

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Answers (2)
  1. 22 June, 20:20
    0
    S+g=425

    g=s+25

    (subsisute)

    s+s+25=425

    2s+25=425

    (subtract 25)

    2s=400

    (divide by 2)

    s=200

    (subsisute)

    g=200+25

    g=225

    seiji=200

    gavin=225
  2. 22 June, 20:27
    0
    System of equations: x+y=425

    x-y=-25

    1. Cancel out the y in both equations, combine 425 and - 25, and combine the x terms together. 2x=400

    2. Divide each side of the equation by 2. x=200

    Seiji earned $200 and Gavin earned $225
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