SOLUTION: the senior class at High School A rented and filled 8 vans and 8 buses with 240 students. High School B rented and filled 4 vans and 1 bus with 54 students. Every van had the sam

Question 662392: the senior class at High School A rented and
filled 8 vans and 8 buses with 240 students. High School B rented and filled 4 vans and 1 bus with 54 students. Every van had the same number of students in it as did the buses. Find the number of the students in each van and in each bus

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
High School A rented and
filled 8 vans and 8 buses with 240 students. High School B rented and filled 4 vans and 1 bus with 54 students. Every van had the same number of students in it as did the buses. Find the number of the students in each van and in each bus
---------
8v + 8b = 240
4v + b = 54
----------
Modify to get:
4v + 4b = 120
4v + b = 54
-----
Subtract and solve for "b":
3b = 66
b = 22 (each bus holds 22 students)
----
Solve for "v":
4v + b = 54
4v + 22 = 54
4v = 32
v = 8 (each van holds 8 students)
------------------------
Cheers,
Stan H.
=====================
RELATED QUESTIONS
National Park. The senior class at High School A rented and filled 11 vans and 7 buses... (answered by greenestamps,josgarithmetic)

The senior classes at High School A and High School B planned separate trips to the... (answered by Boreal)

The state fair is a popular field trip destination. This year the senior class at High... (answered by stanbon)

1)The senior classes at High School A and High School B planned separate trips to the... (answered by Boreal)

The senior classes at High School A and High School B planned separate trips to New York... (answered by jorel1380)

the senior class at high school A and High school B planned aeparate trips to the water... (answered by )

state fair. The senior classes at High School A and High School B planned separate trips... (answered by CubeyThePenguin)

The senior classes at High School A and High School B planned separate trips to New York (answered by josgarithmetic)

The senior class at high school a rented and filled 6 vans and 7 buses with 394 students. (answered by Boreal)