Question

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 1 van and 6 buses with 324 students. High School B rented and filled 9 van and 3 busses with 264 students. How many students can a van carry? How many students can a bus carry?

Answer 1

number of students in a van=12

number of students in a bus=52

Explanation:

let a number of students in a van=x

number of students in a bus=y

1x+6y=324 ...(1)

9x+3y=264 ...(2)

multiply (2) by 2

18x+6y=528 ...(3)

(3)-(1) gives

17x=204

x=204/17=12

put in (1)

12+6y=324

6y=324-12=312

y=312/6=52

Answer 2

number of students in a van=12

number of students in a bus=52

Explanation:

let number of students in a van=x

number of students in a bus=y

1x+6y=324 ...(1)

9x+3y=264 ...(2)

multiply (2) by 2

18x+6y=528 ...(3)

(3)-(1) gives

17x=204

x=204/17=12

put in (1)

12+6y=324

6y=324-12=312

y=312/6=52