Answer: 4 buses & 6 vans
Step-by-step explanation:
You have 4 buses so you would multiply 4 by 55 because each bus holds 55 students. Since you have 4 buses, you would have 6 vans because there is a total of 10 vehicles. Therefore, you would also multiply 6 by 11 because each van holds 11 students.
286 (students) = (6 x 11) + (4 x 55)
286 = 66 + 220
Answer: 6 vans and 4 buses were used.
Step-by-step explanation:
Let x represent the number of vans that the students used.
Let y represent the number of buses that the students used.
Some students rode in vans which hold 11 student each and some students rode in buses which hold 55 students each. Since the total number of students in the Math Club that went on a field trip is 286, it means that
11x + 55y = 286 - - - - - - - - - - -1
The total number of vehicles that they used is 10. It means that
x + y = 10
Substituting x = 10 - y into equation 1, it becomes
11(10 - y) + 55y = 286
110 - 11y + 55y = 286
- 11y + 55y = 286 - 110
44y = 176
y = 176/44
y = 4
x = 10 - y = 10 - 4
x = 6
