SOLUTION: A bus seats 51 people and a van seats 8 people. If there are 150 people going on a trip in a total of 8 vehicles, how many buses and vans are taken on the trip? (Solve problem alge

Question 531012: A bus seats 51 people and a van seats 8 people. If there are 150 people going on a trip in a total of 8 vehicles, how many buses and vans are taken on the trip? (Solve problem algebraically ahwing the work)
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
b = number of buses
v = number of vans
51b = number of people carried by each bus
8v = number of people carried by each van
.
51b + 8v = 150 people being carried
.
b + v = 8
so
v = 8-v
.
substitute
.
51b + 8(8-v) = 150
51b + 64 -8v = 150
43b = 86
b = 2
.
v = 8-b
v = 6
.
Check the total people carried.
51(2) = 102
8(6) = 48
102+48 = 150
Correct.
.
Answer: They used 2 buses and 8 vans.
.
Done.
RELATED QUESTIONS
a senior class is planning a trip to Chicago. a bus seats 51 people and a van seats 8.... (answered by ewatrrr)

A Senior class is planning a trip to Chicago. a Bus seats 51 people a bus seats 8 people. (answered by oberobic,stanbon)

Your organization is planning a conference with 193 people in attendance that need... (answered by vleith)

their are six people getting on a bus, there are 8 seats, how many different... (answered by stanbon)

if there is 8 empty seats on a bus and 5 people get on how many possible ways can they be (answered by mathmate)

A youth group with 26 members is going skiing. Each of the five chaperones will drive a... (answered by checkley77)

A theater can seat 713 people. The number of rows is 8 less than the number of seats in... (answered by fractalier)

I am having a problem with a setting up a linear programming word problem. Once I have... (answered by Theo)

Problem 3.10. How many ways are there to seat 8 people, consisting of 4 couples, in a row (answered by jim_thompson5910)