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
