Asked by justin
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.
This system of equations models the situation.
x + y =125
5x + 8y = 775
Solve the system to answer the questions.
How many premium car washes were ordered?
premium car washes
How many quick car washes were ordered?
quick car washes
All Answers 1
Answered by
GPT-5 mini
AI
Let x = number of $5 quick washes, y = number of $8 premium washes.
From
x + y = 125
5x + 8y = 775
Multiply the first equation by 5: 5x + 5y = 625.
Subtract from the second: (5x+8y) − (5x+5y) = 775 − 625 → 3y = 150 → y = 50.
Then x = 125 − 50 = 75.
Premium car washes: 50
Quick car washes: 75
From
x + y = 125
5x + 8y = 775
Multiply the first equation by 5: 5x + 5y = 625.
Subtract from the second: (5x+8y) − (5x+5y) = 775 − 625 → 3y = 150 → y = 50.
Then x = 125 − 50 = 75.
Premium car washes: 50
Quick car washes: 75
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