Question

All 231 students in the Math Club went on a field trip. Some students rode in vans which hold 7 students and some students rode in buses which hold 25 students each. How many of each type of vehicle did they use if there were 15 vehicles in total?

Answer 1

answer : 8 vans and 7 buses

Answer 2

Answer:the number of vans is 9

the number of buses is 6

Step-by-step explanation:

Let x represent the number of vans

Let y represent the number of buses.

Some students rode in vans which hold 7 students and some students rode in buses which hold 25 students each. The total number of students in the Math Club that went on the field trip is 213.

This means that

7x + 25y =213 - - - - - - - - - -1

Total number of vehicles used is 15. This means that

x + y = 15

Substituting x = 15 - y into equation 1, it becomes

7(15 - y) + 25y =213

105 - 7y + 25y = 213

- 7y + 25y = 213 - 105

18y = 108

y = 108/18 = 6

x = 15 - y = 15 - 6

x = 9