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15 March, 08:33

Louis has three more quaters than dimes in his pocket, for a total of $1.80. Which equation could used to detemine the number of dimes, x in this pocket

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  1. 15 March, 08:40
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    3+d=q and 0.10d+0.25q=1.80

    There are 3 dimes and 6 quarters.

    Step-by-step explanation:

    This situation has two unknowns - the total number of dimes and the total number of quarters. Because we have two unknowns, we will write a system of equations with two equations using the two unknowns.

    We know there are three more quarters than dimes. We write that as 3+d=q.

    We also know the total cost and the value of each coin. We write 0.10d+0.25q=1.80.

    We substitute 3+d for q in the second equation.

    0.10d+0.25 (3+d) = 1.80

    0.10d+0.75+0.25d=1.80

    0.35d+0.75=1.80

    We isolate the variable by subtracting 0.75 across the equal sign and then dividing by the coefficient of d.

    0.35d=1.05

    d=3

    There are 3 dimes.
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