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Evan washes two types of vehicles. It takes him 30 minutes to wash a car and 40 minutes to wash a truck. He charges $12 to wash a car and $15 to wash a truck. In 270 minutes, Evan made $105 washing cars and trucks. How many trucks did Evan wash?

Verified Answer :

the answer is 3 i think

calculista

Answer:

\(3\ trucks\)

Step-by-step explanation:

Let

x-----> the number of cars

y----> the number of trucks

we know that

\(30x+40y=270\) -----> equation A

\(12x+15y=105\) -----> equation B

Using a graphing tool

Remember that the solution of the system of equations is equal to the intersection point both graphs

In this problem the intersection point is \((5,3)\)

see the attached figure

therefore

\(x=5\ cars\)

\(y=3\ trucks\)


View image calculista

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