A total of 26 bills are in a cash box. Some of the bills are one-dollar bills, and the rest are five-dollar bills. The total amount of cash in the box is $50. Find the number of each type of bill in the cash box.

Use the same approach that I showed you for the stamps question.

I look forward to reviewing your work.

the sum of a number and one

To find the number of each type of bill in the cash box, we can set up a system of equations based on the given information.

Let's assume that the number of one-dollar bills is "x" and the number of five-dollar bills is "y."

From the problem, we know that there are a total of 26 bills, so we can write the equation:

x + y = 26 (Equation 1)

We also know that the total amount of cash in the box is $50, so we can write another equation based on the value of the bills:

1x + 5y = 50 (Equation 2)

Now we have a system of equations that we can solve simultaneously to find the values of "x" and "y."

To do this, we can use the substitution method or the elimination method. Let's use the substitution method in this case.

From Equation 1, we can solve for x in terms of y:

x = 26 - y

Substituting this value of x into Equation 2, we get:

1(26 - y) + 5y = 50

Simplifying the equation further:

26 - y + 5y = 50

Combining the like terms:

4y + 26 = 50

Subtracting 26 from both sides:

4y = 50 - 26

4y = 24

Dividing both sides by 4:

y = 24 / 4

y = 6

Now that we have the value of y, we can substitute it back into Equation 1 to find the value of x:

x + 6 = 26

Subtracting 6 from both sides:

x = 26 - 6

x = 20

Therefore, there are 20 one-dollar bills and 6 five-dollar bills in the cash box.