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24 August, 17:02

What is the equation that I should ues in order to solve this problem?

Justin has $7.50 more that Eva and Emma has $12 less than Justin. Together, they have a total of $63.00. How much money does each person have?

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  1. 24 August, 17:06
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    Justin has 27.50

    Eva has $20

    Emma has 15.50

    Step-by-step explanation:

    Let v = how much money Eva has

    j = how much money justin has

    Justin has $7.50 more that Eva

    j = v + 7.50

    m = how much money Emma has

    Emma has $12 less than Justin.

    m = j-12

    Together, they have a total of $63.00

    Justin + Eva + Emma = 63

    j+v+m = 63

    Equations:

    j = v + 7.50 Solve this for v j-7.5 = v

    m = j-12

    j+v+m = 63

    Substitute the first 2 equations in so this equation will be in terms of j

    j + (j-7.5) + (j-12) = 63

    Combine like terms

    3j - 19.50 = 63

    Add 19.50 to each side

    3j-19.50+19.50 = 63+19.50

    3j = 82.5

    Divide by 3

    3j/3 = 82.5/3

    j = 27.5

    Justin has 27.50

    Justin has $7.50 more that Eva

    j = v + 7.50

    27.50 = v+7.50

    Subtract 7.50 from each side

    27.50-7.50 = v+7.5-7.5

    20 = v

    Eva has $20

    Emma has $12 less than Justin.

    m = j-12

    m = 27.50 - 12

    m = 15.50

    Emma has 15.50
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