SOLUTION: A company has 5 large buses and 6 smaller ones. A large bus holds 11 more people than the smaller one. If the capacity of all the buses is 495, how many people does each size bus h

Question 907331: A company has 5 large buses and 6 smaller ones. A large bus holds 11 more people than the smaller one. If the capacity of all the buses is 495, how many people does each size bus hold ?
Answer by JulietG(1812) (Show Source): You can put this solution on YOUR website!
Let x represent the capacity of the smaller bus
6x + 5(x+11) = 495
Distribute
6x + 5x + 55 = 495
11x + 55 = 495
Subtract 55 from each side
11x = 440
Divide each side by 11
x = 40
The smaller buses hold 40; therefore the larger ones hold 40+11, or 51
6 smaller buses with 40 people = 240
5 larger buses with 51 people = 255
240 + 255 = 495
RELATED QUESTIONS
Problem: A company has 5 large buses and 6 small buses. A large bus holds 11 more people (answered by douger)

I am not sure what topic this question would fall under since i didn't find word problems (answered by KMST)

There are 4 large buses and 5 small buses. The large buses has 12 more seats than the... (answered by Edwin McCravy)

Hi One large tank holds 300litres more than the smaller tank.if the smaller tank is 2/3... (answered by josmiceli)

one number is 6 more than a smaller number. if the difference between 2 times the large... (answered by Cromlix)

A large building has 3 air conditioners of different sizes that total 155 tons. If the... (answered by Boreal)

a company uses 2 vans to transport workers from a free parking lot to the workplace... (answered by mananth)

A large school district has 300 school buses. If each school bus is used 3 hours each... (answered by ankor@dixie-net.com)

Hi one tank holds 300litres more than another. If the smaller is 2/3 full it holds as... (answered by ikleyn,MathTherapy)