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22 October, 10:28

Drea and Sajini both worked at a local ice cream shop over the summer. Together, they earned a total of $425. Drea earned $25 more than Sajini. Write a system of two equations with two variables to model this problem. Use an algebraic method (substitution or linear combination) to solve the system. Graph both equations. Be sure to include the solution on your graph. How much did each person earn?

ps i can graph it myself i guess i just need the rest

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Answers (2)
  1. 22 October, 12:52
    0
    Drea: $225

    Sajini: $200

    Step-by-step explanation:

    D + S = 425

    D = S + 25

    S + 25 + S = 425

    2S = 400

    S = 200

    D = 200 + 25 = 225
  2. 22 October, 14:17
    0
    Sajini = 200

    Drea = 225

    Step-by-step explanation:

    d = amount Drea earned

    s = amount Sajini earned

    Together they earned 425

    d+s = 425

    d = s+25

    The system of equations

    d+s = 425

    d = s+25

    I will use substitution to solve

    Substitute d = s+25 into the first equation

    d+s = 425

    (s+25) + s = 425

    Combine like terms

    2s+25 = 425

    Subtract 25 from each side

    2s+25-25 = 425-25

    2s = 400

    Divide by 2

    2s/2 = 400/2

    s = 200

    Sajini = 200

    Now we need to find d

    d = s+25

    d = 200 + 25

    d = 225

    Drea = 225
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