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A store uses twice as many five-dollar bills as ten-dollar bills. $2500 was obtained in five- and ten-dollar bills. How many five-dollar bills were obtained? I can't figure out how to set this up. Thanks for your help.
Let F be the number of five dollar bills
Let T be the number of ten dollar bills
The store uses twice as many five-dollar bills as ten-dollar bills , so
F = 2T
$2500 was obtained in five- and ten-dollar bills , so
5F + 10T = 2500 (each five dollar bill is worth $5 , each ten dollar bill is worth $10)
Because F = 2T ,
5(2T) + 10T = 2500
10T + 10T = 2500
20T = 2500
T = 125
Since F = 2T , F = (2)(125) = 250
There are 250 five dollar bills and 125 ten dollar bills
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