5f + 20(f+10) = 850
25f = 650
f = 26
so, 26x$5 and 36x$20
25f = 650
f = 26
so, 26x$5 and 36x$20
Step 1: Assign variables.
Let's assign variables to represent the number of five-dollar bills and twenty-dollar bills the teller has.
Let's say the number of five-dollar bills is 'x.'
Since the teller has 10 more twenty-dollar bills than five-dollar bills, the number of twenty-dollar bills can be expressed as 'x + 10.'
Step 2: Write an equation based on the given information.
The total value of the money is given as $850. We can write this as an equation:
5x + 20(x + 10) = 850
Step 3: Solve the equation.
Now, we can solve the equation:
5x + 20x + 200 = 850
25x + 200 = 850
25x = 850 - 200
25x = 650
x = 650 / 25
x = 26
Step 4: Find the number of five-dollar bills.
We found that 'x' is equal to 26, which represents the number of five-dollar bills.
Therefore, the teller has 26 five-dollar bills.
Let x be the number of five-dollar bills.
Since the teller has 10 more twenty-dollar bills, let x + 10 be the number of twenty-dollar bills.
Now, let's determine the value of the money using the given information:
The value of a five-dollar bill is $5, so the total value of the five-dollar bills is 5x.
The value of a twenty-dollar bill is $20, so the total value of the twenty-dollar bills is 20(x + 10).
According to the problem, the total value of the money is $850. Therefore, we can set up the equation:
5x + 20(x + 10) = 850
Now, let's solve the equation:
5x + 20x + 200 = 850
25x + 200 = 850
25x = 850 - 200
25x = 650
x = 650 / 25
x = 26
Hence, the bank teller has 26 five-dollar bills.