Question

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

Answer 1

Answer:

5x + 8y = 775 and x + y =125

Step-by-step explanation:

Answer 2

The system of linear equation that represents the situation is as follows:

x + y = 125

5x + 8y = 775

x = number of quick washes

y = number of premium washes

Therefore,

Monica  school washed 125 cars. Therefore,

Total car washed:

• x + y = 125

They made a total of $775 . Therefore,

Total  amount made:

• 5x + 8y = 775

The equations formed can be combined to form the system of linear equation as follows :

x + y = 125

5x + 8y = 775

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