SOLUTION: I have 40 bills in my cash drawer. Some are $5 bills. The rest are $10 bills. The total amount of the 40 bills is $260. How many $5 bills and how many $10 bills are in my ca

Algebra.Com
Question 529764: I have 40 bills in my cash drawer. Some are $5 bills. The rest are $10 bills.
The total amount of the 40 bills is $260.
How many $5 bills and how many $10 bills are in my cash drawer ???

Answer by oberobic(2304)   (Show Source): You can put this solution on YOUR website!
Like coin problems, you have to keep track of the count of the bills and their value.
x = number of $5 bills
5x = value of the $5 bills
y = number of $10 bills
10y = value of the $10 bills
.
x + y = 40
so
x = 40-y
.
5x + 10y = 260
.
substitute for x
.
5(40-y) + 10y = 260
200 -5y + 10y = 260
5y = 60
y = 12
.
x = 40-y
x = 28
.
Check the value to determine if this is the correct answer.
.
5*28 = 140
10 * 12 = 120
140 + 120 = 260
Correct.
.
Answer: You have 28 $5 bills and 12 $10 bills.
.
Done.

RELATED QUESTIONS

A person opens his wallet and finds that all the bills are​ $1 bills,​ $5... (answered by josgarithmetic,greenestamps)
A person opens his wallet and finds that all the bills are​ $1 bills,​ $5... (answered by stanbon)
A bank teller has 46 $10 and $20 bills in her cash drawer. The value of the bills is... (answered by josgarithmetic)
a bank teller has 54 $5 and $20 bills in her cash drawer. the value of the bills is... (answered by richwmiller)
A bank teller has 54 $5 and $20 bills in her cash drawer. The value of the bills is... (answered by richwmiller)
A bank teller has 54 $5 and $20 bills in her cash drawer. The value of the bills is $780. (answered by TimothyLamb)
A bank teller has 54 $5 and $20 bills in her cash drawer. The value of the 7) bills is... (answered by TimothyLamb)
The total value or the $5 bills and $10 bills in a cash box is $410. There are eight more (answered by stanbon)
cindy has 17 bills in her wallet. some are $10 bills and some are $20 bills. the total... (answered by ikleyn,fractalier,Alan3354)