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9966 [12]
3 years ago
9

1) Ellen Murphy manages an Auto Film outlet that

Mathematics
1 answer:
Mrrafil [7]3 years ago
4 0

Answer:

Four-door sedan = 22

Two-door coupes = 6

Step-by-step explanation:

This is an algebra problem.

Let "<em>x</em>" represent number of four-door sedan,

"<em>y</em>" represent two-door coupe.

Since there are total of 28 autos on which film is applied, we have:

<em>x</em> + <em>y</em> = 28                                         Equation 1

<em>y </em>= 28 - <em>x                                          </em>Equation 2

Also provided,

Total revenue = $3,459.72

That means,

129.99<em>x </em>+ 99.99<em>y</em> = 3,459.72          Equation 3

Putting value of "<em>y</em>" from Equation 2 in Equation 3 we have:

129.99<em>x</em> + 99.99(28 - <em>x</em>) = 3,459.72

129.99x + 2,799.72 - 99.99<em>x</em> = 3,459.72

30<em>x</em> = 660

<em>x </em>= \frac{660}{30} = 22

Therefore, number of four door sedans = 22

Further <em>y</em> that is two door sedan = 28 - <em>x = </em>28 - 22 = 6

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