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21 May, 01:47

Ayden has $4.20 worth of dimes and quarters. He has twice as many quarters as dimes. Determine the number of dimes and the number of quarters that Ayden has.

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  1. 21 May, 01:53
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    Total number of dimes Ayden has=7

    Total number of quarters Ayden has=14

    Step-by-step explanation:

    The expression for the total value of money Ayden has is;

    Quarters have a value of = $0.25

    Dimes have a value of = $0.10

    Total value = (value of quarters*number of quarters) + (value of dimes*number of dimes)

    where;

    Total value=$2.70

    Value of a quarter=$0.25

    number of quarters=y, but y=2 x

    Value of a dime=0.10

    number of dimes=x

    replacing;

    4.20 = (0.25*2 x) + (0.1*x)

    0.5 x+0.1 x=4.2

    0.6 x=4.2

    x=4.2/0.6

    x=7

    y=2 x=2*7=14

    Total number of dimes=7

    Total number of quarters=14
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