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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?

Respuesta :

the answer is 3 i think
calculista

Answer:

[tex]3\ trucks[/tex]

Step-by-step explanation:

Let

x-----> the number of cars

y----> the number of trucks

we know that

[tex]30x+40y=270[/tex] -----> equation A

[tex]12x+15y=105[/tex] -----> 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 [tex](5,3)[/tex]

see the attached figure

therefore

[tex]x=5\ cars[/tex]

[tex]y=3\ trucks[/tex]


Ver imagen calculista

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