Question

The state fair 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 1 van and 3 buses with 80 students. High School B rented and filled 14 vans
and 1 bus with 218 students. Each van and each bus carried the same number of students. Find
the number of students in each van and in each bus.

Answer 1

Answer:

each bus carries 22 students

each van carries 14 students

Step-by-step explanation:

1v+3b=80

14v+b=218

eliminate b by multiplying the bottom equation by 3.

(42v+3b=654)-(1v+3b=80)=

41v=574

divide both sides by 41

v=14 (each van carries 14 students)

substitute the value of v into either of the og equations

1(14)-14+3b=80-14

3b=66

divide both sides by 3

b=22 (each  bus carries 22 students)