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28 April, 06:20

janice has five less than three times as many quarters as Annie. together they have a total of 15.75. how many quarter doe Janice has?

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  1. 28 April, 06:41
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    The correct answer is that Janice has 46 quarters and Annie 17.

    Step-by-step explanation:

    1. Let's review the information provided to us to answer the question correctly:

    Number of quarters Janice has = five less than three times as many quarters as Annie

    Amount of money in quarters Annie and Janice have = US$ 15.75

    2. How many quarter does Janice have?

    For resolving this question, we have that:

    x = Number of quarters Annie has

    y = Number of quarters Janice has

    System of equations:

    0.25x + 0.25y = 15.75 (Amount of money in quarters Annie and Janice have)

    y = 3x - 5 (five less than three times as many quarters as Annie)

    Replacing y on the 1st equation:

    0.25x + 0.25 (3x - 5) = 15.75

    0.25x + 0.75x - 1.25 = 15.75

    x = 15.75 + 1.25

    x = 17 ⇒ y = 3x - 5 = 51 - 5 = 46

    The correct answer is that Janice has 46 quarters and Annie 17.
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