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2 cars get an oil change at the same service center. Each customer is charged a fee x (in dollars) for the oil change plus y dollars per quart used. The first car required 5 quarts of oil, and the oil change all together costed $22.45. The second car required 7 quarts on oil, and the oil change all together costed $25.45. What service fee and cost per quart of oil?

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absor201

The service fee is $14.95 and cost per quart of oil is $1.50

Step-by-step explanation:

Let,

Service fee charged = x

Cost per quart of oil = y

According to given statement;

x + 5y = 22.45     Eqn 1

x + 7y = 25.45     Eqn 2

Subtracting Eqn 1 from Eqn 2

[tex](x+7y)-(x+5y)=25.45-22.45\\x+7y-x-5y=3\\2y=3[/tex]

Dividing both sides by 2

[tex]\frac{2y}{2}=\frac{3}{2}\\y=1.50[/tex]

Putting y=1.50 in Eqn 1

[tex]x+5(1.50)=22.45\\x+7.50=22.45\\x=22.45-7.50\\x=14.95[/tex]

The service fee is $14.95 and cost per quart of oil is $1.50

Keywords: linear equation, division

Learn more about linear equations at:

  • brainly.com/question/9006189
  • brainly.com/question/894273

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