Question

The senior classes at Spanish River and Atlantic planned separate trips to Universal Studios. The senior class at
Spanish River rented and filled 1 van and 6 buses with 372 students. Atlantic rented and filled 4 vans and 12
buses with 780 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 1

number in van --- x
number in bus ---- y
x + 6y = 372
4x + 12y = 780 ----> x + 3y = 195

subtract those two equations:
3y = 177
y = 59

then from x+3y = 195, x = 18

59 in a bus and 18 in a van