Jeff has 20 five-dollar and ten-dollar bills in his wallet. The total value of these
bills is $125. How many bills of each denomination does he have?
If there are x $5 bill, then the rest (20-x) are $10 bills. So,
5x + 10(20-x) = 125
now go for it
To solve this problem, we can set up a system of equations. Let's assign variables to represent the number of five-dollar bills and ten-dollar bills.
Let x represent the number of five-dollar bills.
Let y represent the number of ten-dollar bills.
We can now form two equations based on the given information:
1) The total number of bills is 20:
x + y = 20
2) The total value of the bills is $125:
5x + 10y = 125
Now we have a system of equations that we can solve simultaneously to find the values of x and y.
Let's solve the first equation for x:
x = 20 - y
Substitute this value of x into the second equation:
5(20 - y) + 10y = 125
Now, simplify the equation:
100 - 5y + 10y = 125
5y = 25
y = 5
So, Jeff has 5 ten-dollar bills.
Substitute this value of y back into the first equation:
x + 5 = 20
x = 20 - 5
x = 15
Therefore, Jeff has 15 five-dollar bills.
In summary, Jeff has 15 five-dollar bills and 5 ten-dollar bills.