SOLUTION: A Senior class is planning a trip to Chicago. a Bus seats 51 people a bus seats 8 people. If there are 150 students going on the trip in a total of 8 vehicles, how many buses and v
Algebra ->
Customizable Word Problem Solvers
-> Travel
-> SOLUTION: A Senior class is planning a trip to Chicago. a Bus seats 51 people a bus seats 8 people. If there are 150 students going on the trip in a total of 8 vehicles, how many buses and v
Log On
Question 531023: A Senior class is planning a trip to Chicago. a Bus seats 51 people a bus seats 8 people. If there are 150 students going on the trip in a total of 8 vehicles, how many buses and vans are taken on the trip?
I have already found the answer: 2 buses, and 6 vans; but this must be solved algebraically, showing all of my work. How do i do that? (set it up algebraically?) Thank you Found 2 solutions by oberobic, stanbon: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.
You can put this solution on YOUR website! A Senior class is planning a trip to Chicago.
----------------------------------
A bus seats 51 people ; a van seats 8 people. If there are 150 students going on the trip in a total of 8 vehicles, how many buses and vans are taken on the trip?
---------
b + v = 8 vehicles
51b + 8v = 150 students
----
Multiply thru the 1st equation by 8 to get:
8b + 8v = 64
51b + 8v = 150
-----
Subtract and solve for "b":
43b = 86
b = 2 (# of busses)
-----
Solve for "v":
b + v = 8
2 + v = 8
v = 6 (# of vans)
=====================
cheers,
Stan H.
=====================
(