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1 October, 02:34

Her coins have a total value of $9.50. She has a total of 50 coins. Write systems of equations can be used to find the number of dimes, 푑푑, and the number of quarters, 푞푞, Alexis has. Solve the system and explain what the solution mean. {Hint: remember to use substitution or elimination method

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  1. 1 October, 02:54
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    Our system is : D + Q = 50 and 0.1*D + 0.25*Q = $9.50

    Let D = # of dimes

    Let Q = # of quarters

    30 Quarters and 20 dimes

    Step-by-step explanation:

    Let D = # of dimes

    Let Q = # of quarters

    so

    D + Q = 50 and 0.1*D + 0.25*Q = $9.50

    We can solve this.

    D = 50 - Q

    0.1 * (50 - Q) + 0.25*Q = $9.50

    5 - 0.1*Q + 0.25*Q = 9.5

    5 + 0.15*Q = 9.5

    0.15*Q = 4.5

    Q = 4.5 / 0.15 = 30

    D = 50 - Q = 50 - 30 = 20
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