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A class of 195 students went on a field trip. They took 19 vehicles, some cars and some buses. If each car
holds 5 students and each bus hold 25 students, how many buses did they take?

Respuesta :

adioabiola

Answer:

Number of cars = 14

Number of buses = 5

Step-by-step explanation:

Let

x = number of cars

y = number of buses

x + y = 19 (1)

5x + 25y = 195 (2)

From (1)

x = 19 - y

Substitute x = 19 - y into (2)

5x + 25y = 195

5(19 - y) + 25y = 195

95 - 5y + 25y = 195

- 5y + 25y = 195 - 95

20y = 100

y = 100/20

y = 5

Substitute y = 5 into (1)

x + y = 19

x + 5 = 19

x = 19 - 5

x = 14

Number of cars = 14

Number of buses = 5

Parrain

Based on the number of vehicles and the number that each vehicle can take, the number of buses required is 4 buses.

There are 19 vehicles which take 5 students each. This means that the number of kids entering buses will be:

= 19 x 5

= 95 students

The students entering buses will be:

= Total number of students - Kids in vehicles

= 195 - 95

= 100 students

If each bus takes 25 students, the number of buses required is:

= 100 students / 25

= 4 buses

In conclusion, 4 buses were taken.

Find out more at https://brainly.com/question/15806057.

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