SOLUTION: You have $1, $5 and $10 bills in your pocket. The total amount of money you have is $75. You have a total of 17 bills. The number of $5 bills is twice the number of $1 bills. How m

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: You have $1, $5 and $10 bills in your pocket. The total amount of money you have is $75. You have a total of 17 bills. The number of $5 bills is twice the number of $1 bills. How m      Log On


   

Question 1012372: You have $1, $5 and $10 bills in your pocket. The total amount of money you have is $75. You have a total of 17 bills. The number of $5 bills is twice the number of $1 bills. How many of each type of bill do you have?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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N=number of $1 bills; F=number of $5 bills=2N; T=number of 410 bills
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N+F+T=17
N+2N+T=17
T=17-3N
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$1N+$5F+$10T=$75
$1N+$5(2N)+$10(17-3N)=$75
$1N+$10N+$170-$30N=$75
-$19N=-$95
N=5
ANSWER 1: There are five $1 bills.
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T=17-3N=17-3(5)=17-15=2
ANSWER 2: There are two $10 bills.
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N+F+T=17
5+F+2=17
F=10
ANSWER 3: There are ten $5 bills.
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CHECK:
$1N+$5F+$10T=$75
$1(5)+$5(10)+$10(2)=$75
$5+$50+$20=$75
$75=$75
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