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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

User Peter Kay
by
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1 Answer

3 votes

Final answer:

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.
User Doguhan Uluca
by
8.2k points
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