Question

You have 900 bills and $5500. How many $5 and $10 bills do you have?

A) 700 $5 bills and 200 $10 bills
B) 500 $5 bills and 400 $10 bills
C) 800 $5 bills and 100 $10 bills
D) 600 $5 bills and 300 $10 bills

Answer 1

To solve the problem, we set up two equations: x + y = 900 and 5x + 10y = 5500, where x is the number of $5 bills and y is the number of $10 bills. Solving the system, we find that there are 700 $5 bills and 200 $10 bills, making option A the correct answer.

Step-by-step explanation:

The question presents a problem that requires solving a system of linear equations to determine the number of $5 and $10 bills.

Let's define two variables: Let x be the number of $5 bills and y be the number of $10 bills. We have two equations based on the given information

• x + y = 900 (total number of bills)
• 5x + 10y = 5500 (total dollar value of the bills)

Using the substitution or elimination method, we can solve this system of equations to find the values of x and y.

By multiplying the first equation by 5, we get:

• 5x + 5y = 450
  Then subtracting this equation from the second equation gives:

• 5y = 1000
  Thus,

y = 200.

Substituting y = 200 into the first equation gives us:

• x + 200 = 900
• x = 700
  So we have 700 $5 bills and 200 $10 bills, making option A the correct answer.