SOLUTION: New York City is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at H

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Question 715141: New York City is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 11 vans and 10 buses with 629 students. High School B rented and filled 14 vans and 10 buses with 656 students. Each van and each bus carried the same number of students. How many students can a van carry? How many students can a bus carry?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
v = how many students fit into a van
b = how many students fit into a bus

School A:
11v+10b=629

School B:
14v+10b=656

Since both classes used 10 buses, we can use elimination by subtracting the A class equation from the B class equation and solve for v, for its value. Then, use either equation and the now found value for v to solve for b.

You should find part of the process to be:
14v%2B10b-%2811v%2B10b%29=656-629, which shows the van holds only a few people even before continuing the solution. (Looks like 9 students fit in a van.)