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7 July, 01:02

Alice is counting a cash register at the end of the night she has $1015 in $5 bills and $10 bills. If she has 138 bills all together, how many of each type does she have?

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  1. 7 July, 04:40
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    Let f and t be the number of fives and tens respectively ...

    f+t=138

    f=138-t and we are told that:

    5f+10t=1015, using f from above in this equation gives you:

    5 (138-t) + 10t=1015

    690-5t+10t=1015

    690+5t=1015

    5t=325

    t=65 and since f=138-t,

    f=73 so

    Alice has 73 fives and 65 tens.
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