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29 January, 07:05

Suppose you have just enough money, in coins, to pay for a gallon of milk priced at $2.40. You have 12 coins, all quarters and dimes. Let q equal the number of quarters and d equal the number of dimes. Which system models the given information?

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  1. 29 January, 07:20
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    The answer is

    q + d = 12

    0.25q + 0.10d = 2.40

    q - the number of quarters

    d - the number of dimes

    You have 12 coins, all quarters and dimes:

    q + d = 12

    The value of 1 quarter is $0.25.

    The value of 1 dime is $0.10.

    Therefore, if you want to pay $2.40 you will have q quarters of value $0.25 (0.25q) and d dimes of value $0.10d (0.10d).

    The second equation is:

    0.25q + 0.10d = 2.40
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