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Jeremy cashed his weekly paycheck at the bank and asked for the money in $5 and $10 bills.
The bank teller gave him 24 bills worth $170. How many $5 bills did the bank teller give him?
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Let x = # of $10 bills;
y = # of $5 bills.
Write the system of 2 equation in 2 unknown, as you read the problem
x + y = 24 (1) (total bills)
10x + 5y = 170 (2) (total dollars)
To solve the system, divide equation (2) by 5 (both sides). The system will take the form
x + y = 24 (1)
2x + y = 34 (3)
Now subtract equation (1) from equation (3). You will get
x = 34 - 24 = 10.
Then from equation (1)
y = 24 - 10 = 14.
ANSWER. 10 $20-bills and 14 $5-dollar bills.
Solved.
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