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23 May, 00:26

Maryam's wallet contains a combination of $5 and $10 bills. What is the ratio of $5 bills to $10 bills? (1) The ratio of the number of bills to the total dollar value is 1/9. (2) The total dollar value of the bills is $360.

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  1. 23 May, 00:38
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    (1) The ratio of number of $5-bill to number of $10-bill is: 1/4;

    (2) The ratio of number of the $5-bill to number of $10-bill is: x / [ (72-x) / 2] in which x is the number of $5-bill and x must be either 0 or an even positive integral (as their is insufficient information given, there can be many ratios that suit into the given information as long as the condition on x is met).

    Step-by-step explanation:

    (1) Denote x is the number of $5 bill and y is the number of $10 bill, in which x and y should be > = 0 and is an integral number.

    We have (x+y) / (5x + 10y) = 1/9 9x + 9y = 5x + 10y 4x = y x/y = 1/4.

    (2) Denote x is the number of $5 bill, y is the number of $10 bill.

    We have: 5x + 10y = 360 x = [ 360 - 10y ] / 5 x = 72 - 2y y = (72 - x) / 2 = > x/y = x/[ (72-x) / 2] in which x must be must be either 0 or an even positive integral so that y can be identified in order to match with the given information.
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