SOLUTION: a group of 140 students went to disney world. they took 9 vehicles, some cars and some buses. what is the number of cars and the number buses they took, if each car holds 8 student
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Question 1014968: a group of 140 students went to disney world. they took 9 vehicles, some cars and some buses. what is the number of cars and the number buses they took, if each car holds 8 students and each bus holds 42 students Answer by LinnW(1048) (Show Source):
You can put this solution on YOUR website! Let b = the number of buses
c = the number of cars
b + c = 9
42*b + 8*c = 140
Working with the equation b + c = 9 , add -b to each side
c = 9 - b
Substitute (9 - b) for c in 42*b + 8*c = 140
42*b + 8*(9 - b) = 140
42b + 72 -8b = 140
34b + 72 = 140
add -72 to each side
34b = 68
divide each side by 34
b = 2
Now substitute 2 for b in c = 9 - b
c = 9 - 2 = 7
So we have two buses and seven cars
Let's check with our original equations.
First check b + c = 9. Here 2 + 7 = 9
Now check 42*b + 8*c = 140 with b = 2 and c = 7
42*2 + 8*7 ?= 140
84 + 56 ?= 140
This checks out so we know b = 2 and c = 7 is correct.
