Monica's school band held a car wash to raise money for a trip to a parade in New York City. After washing 125 cars, they made $775 from a combination of $5.00 quick washes and $8.00 premium washes. Let x represent the number of quick washes and let y represent the number of premium washes. Which system of linear equations represents the situation? 5x + 8y = 775 and x + y = 125 5x - 8y = 125 and x + y = 775 5x + 8y = 775 and x - y = 125 5x - 8y = 125 and x - y = 775

Question

Mathematics

Mara Dalton

6 November, 14:34

Monica's school band held a car wash to raise money for a trip to a parade in New York City. After washing 125 cars, they made $775 from a combination of $5.00 quick washes and $8.00 premium washes. Let x represent the number of quick washes and let y represent the number of premium washes. Which system of linear equations represents the situation? 5x + 8y = 775 and x + y = 125 5x - 8y = 125 and x + y = 775 5x + 8y = 775 and x - y = 125 5x - 8y = 125 and x - y = 775

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Answers (1)

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Dustin Underwood · Answer 1

So the total they made was $775.

This can also be written as:

5x + 8y = 775

Also to determine the number of cars they washed with each type of service:

x + y = 125

So, the first system of equations is correct.