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A class used cars(x) and vans(y) to go on a field trip. They used 11 cars and vans. Each car holds 5 students and each van holds 8. If 73 students went on the trip then how many of each vehicle did the class use.

User CornPuff
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1 Answer

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Answer:

X=5 Cars

Y=6 Vans

Explanation:

Let's assume the number of cars used is x and the number of vans used is y.

We can set up two equations based on the information given:

x + y = 11 (the total number of vehicles used)

5x + 8y = 73 (the total number of students that went on the trip)

We can use substitution to solve for one of the variables in terms of the other:

y = 11 - x

5x + 8(11 - x) = 73

5x + 88 - 8x = 73

-3x = -15

x = 5

So the class used 5 cars and 11 - 5 = 6 vans.

User Eustatos
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