Question

4. The senior class at High School A and High School B planned separate trips to New York City. The senior class at High School A rented and filled 1 van and 6 buses with 372 students. High School B 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

van=18

bus=59

Explanation:

Let v=van & b=bus

1v+6b=372

1v=372-6b

4v+12b=780

Lets divide by 4

1v+3b=195

then

1v=195-3b

substitute in first expression

372-6b=195-3b

simplify

177=3b

b=59

then substitute

1v=195-3(59)

1V=18

Answer 2

van=18

bus=59

Explanation:

Let v=van & b=bus

1v+6b=372

1v=372-6b

4v+12b=780

Lets divide by 4

1v+3b=195

then

1v=195-3b

substitute in first expression

372-6b=195-3b

simplify

177=3b

b=59

then substitute

1v=195-3(59)

1V=18