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5 January, 08:26

Adrian has $6.35 in dimes and quarters. The number of dimes is three more than three times the number of quarters. How many quarters does he have? What expression represents the number of dimes if q represent quarters

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  1. 5 January, 08:46
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    I: 635=dimes*10+quarters*25

    or shorter

    635=d*10+q*25

    II: d=q*3+3

    Substitute II (d=3q+3) into I to replace d:

    635=d*10+q*25

    635 = (3q+3) * 10+q*25

    635=30+30q+25q

    605=55q

    11=q

    -> 11 quarters

    "What expression represents the number of dimes if q represent quarters"

    insert q=11 into II:

    II: d=q*3+3

    d=11*3+3

    d=33+3

    d=36
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