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27 January, 06:30

Keisha, Scott, and Ryan have a total of $101 in their wallets. Keisha has $6 more than Scott. Ryan has 3 times what Scott has. How much does each have?

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  1. 27 January, 09:50
    0
    Keisha = $25

    Scott = $19

    Ryan = $57

    Step-by-step explanation:

    Let the amount each have be represented by A, B and C

    Keisha = A

    Scott = B

    Ryan = C

    Keisha, Scott and Ryan have a total of $101.

    That's

    A + B + C = $101

    Keisha has $6 more than Scott

    A = 6 + B

    Ryan has 3 times Scott

    C = 3B

    Substitute 6+B for A and 3B for C in the first equation.

    That's

    A + B + C = 101

    6 + B + B + 3B = 101

    6 + 5B = 101

    Subtract 6 from both sides

    6 - 6 + 5B = 101 - 6

    5B = 95

    Divide both sides by 5

    B = 95/5

    B = 19

    Scott has $19

    Recall Keisha has $6 more than Scott B.

    That's A = 6 + B

    A = $6 + $19

    A = $25

    Keisha has $25

    Also, Ryan C has 3 times what Scott B has.

    That's

    C = 3 x B

    C = 3 x 19

    C = $57

    Therefore, Keisha has $25, Scott has $19 and Ryan has $57
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