A bank teller had $2750 in ten-dollar bills and five-dollar bills. He had twice as many ten-dollar bills as five-dollar bills. How many of each bill did he have? i need an answer cant understand at all....

Question

A bank teller had $2750 in ten-dollar bills and five-dollar bills. He had twice as many ten-dollar bills as five-dollar bills. How many of each bill did he have? i need an answer cant understand at all....

Answer 1

If x = # of $5, then 2x = # of $10

5x + 10(2x) = 2750

Solve for x, then 2x.

Answer 2

$5 - 110

$10 - 220

Answer 3

Let's solve this problem step by step.

Step 1: Let's assume the number of five-dollar bills as "x".

Step 2: According to the given information, the number of ten-dollar bills would then be twice the number of five-dollar bills, which is 2x.

Step 3: The total value of five-dollar bills can be calculated by multiplying the number of five-dollar bills (x) by $5, which gives us 5x.

Step 4: The total value of ten-dollar bills can be calculated by multiplying the number of ten-dollar bills (2x) by $10, which gives us 20x.

Step 5: According to the problem, the total amount of money the bank teller had was $2750. So, we can write the equation:

5x + 20x = 2750

Step 6: Combine like terms:

25x = 2750

Step 7: Solve for x by dividing both sides of the equation by 25:

x = 2750/25

x = 110

Step 8: Now that we have the value of x, we can find the number of ten-dollar bills by substituting the value of x back into our previous assumption:

2x = 2(110) = 220

Therefore, the bank teller had 220 ten-dollar bills and 110 five-dollar bills.

Answer 4

To solve this problem, we can set up a system of equations based on the given information.

Let's assign variables to the unknown quantities:
x = number of ten-dollar bills
y = number of five-dollar bills

We know that the bank teller had a total of $2750, so we can write the equation:
10x + 5y = 2750

We are also told that the bank teller had twice as many ten-dollar bills as five-dollar bills, which can be expressed as:
x = 2y

Now we have a system of equations:
10x + 5y = 2750
x = 2y

We can substitute the value of x from the second equation into the first equation:
10(2y) + 5y = 2750
20y + 5y = 2750
25y = 2750
y = 110

Now that we have the value of y, we substitute it back into the second equation to find x:
x = 2y
x = 2(110)
x = 220

So the bank teller had 220 ten-dollar bills and 110 five-dollar bills.

In summary:
Number of ten-dollar bills = 220
Number of five-dollar bills = 110