### Brain Teasers

# Local Bus Company

My local bus company has recently expanded and no longer has enough room for all of its buses. Twelve of their buses have to be stored outside. If they decide to increase their garage space by 40%, this will give them enough room for all of their current buses, plus enough room to store another twelve in the future. How many buses does the company currently own?

### Answer

72 buses.They have enough room for 60 of these, expanding the 60 capacity by 40% will give them enough room for 84 - which we know is 12 more than their current count.

Hide Answer Show Answer

## What Next?

**Solve a Similar Brain Teaser...**

Or, get a random brain teaser.

If you become a registered user you can vote on this brain teaser, keep track of

which ones you have seen, and even make your own.

## Comments

I got it but it made me think. Very good teaser, I like to see a new math teaser now and then. Thanks.

I easily got it but I liked it nonetheless!

HEN HAO!

FINALLY, SOMETHING TO MAKE ME THINK. PLEASE PLEASE PLEASE SUBMIT MORE.

FINALLY, SOMETHING TO MAKE ME THINK. PLEASE PLEASE PLEASE SUBMIT MORE.

I guessed 60 buses. Math isn't my strong suit.

Nice brainsmoker...I was also thinking 60, then remember the other 12. Try to use the calculator only confused my thinking. But thanks anyway.

Nice one! I really had fun solving it!

Great teaser! Finally one that really made me think.

Never was any good with math problems. Not my "cup of tea".

I thought for sure I had this one, but no, I also didn't take the extra ones into account. I don't in general like Math Teasers, that's just me, it's not my strongest skill, although I respect Mathematics A LOT!!!!! One thing that's not a critique of the teaser at all, when I'm on the PC, I don't have any place to work a prob. out on paper with a pencil, and it doesn't help much to try to do it on notepad or the PC calc., so that's another reason I'm not crazy bout them, but that's OK, THANKS for the teaser!

Somehow I got that without the calculator. My lucky day!

I still don't get it. A print out of the formula would have been nice for a math illiterate like me.

it was ok, but i think math questions are a little less creative and.... not very fun. it was put together very well, but i dont think it belongs on braingle, maybe like a saxon math book or something.

GrEaT JoB!!!! you got me there--

took me a while to figure it out!!!

took me a while to figure it out!!!

That was a great one!! I LOVE math! It's my FAVORITE subject! I would love it if there were more math problems, especially ones that make you think (which this one did).

Love the math! This actually can be solved quite easily without paper or a calculator:

Because incresing the current garge space by 40% allows for 24 additional buses, 40% of the garage space = 24. So 10% of the garage space = 6 (dividing by 4). Therefore 100% of the garage space = 60 (multiplying by 10). This means that the current fleet is comprised of 72 buses.

Because incresing the current garge space by 40% allows for 24 additional buses, 40% of the garage space = 24. So 10% of the garage space = 6 (dividing by 4). Therefore 100% of the garage space = 60 (multiplying by 10). This means that the current fleet is comprised of 72 buses.

this is what i did

24/x = 40/100

2400 = 40x

60 = x

60 + 12 = 72

24/x = 40/100

2400 = 40x

60 = x

60 + 12 = 72

I have to say I was very touched by the story of poor shawneeo who isn't able to use a pencil and paper at the same time as a PC. That must really suck.

Good One.

40% of the Original # is the 24.

Original # times 40% = 24.

Original # = 24 / 40% (or .40).

Original # = 60.

40% of the Original # is the 24.

Original # times 40% = 24.

Original # = 24 / 40% (or .40).

Original # = 60.

Oops, forgot to add:

Original # plus 12 = 72!

Original # plus 12 = 72!

UCH! My brain hurts!!!

I tried to come up with a mathematical way to figure this, but I guess my algebra training is in my too-distant past. ThanxaMILLION to you "MATH MAJORS" for showing us how you did it! Maybe next time ...

I tried to come up with a mathematical way to figure this, but I guess my algebra training is in my too-distant past. ThanxaMILLION to you "MATH MAJORS" for showing us how you did it! Maybe next time ...

I also enjoy some math teasers. This was very good. Thank you.

I was disappointed with this one (too easy). One of my granddaughters asked me to teach her algebra after the third grade, and she could solve this one.

I guess my Math is in need of re- learning! So send more of these for me to re -learn! I didn't have time for my poor brain to solve this one today but, probably would have sooner or later!

I love math and this one was great!! Thank you for posting it!!

Pam

Pam

Just basic simultaneous equations... took a whole minute and a half this time to work it out. The only bit that invovled me thinking was when i put the question from words into 2 simultaneous equations. y is the garage space in buses that can be fitted into it and x is how many buses it currently owns and the answer. the 2 equations are... y = x - 12 and 1.4y = x + 12. From these simulatenous equations you can see that y is 60. Therefore the garage space is 60 buses that can be fitted while x is 72. Therfeore, there are 72 buses overall...

I don't really get it right now. This is what I'm thinking

-Okay, if 12 have to be stored outside and then there will be room for 24 with the addition, that means that 12 busses are only 20 percent of all the busses. 12x5=60, and since you don't have the other 12 busses yet, you don't currently own 72.

-Okay that's what I'm thinking right now but hey, I'm only in 7th grade so I'm not great at math. If someone would please explain it to me, that'd be awesome!!

-Okay, if 12 have to be stored outside and then there will be room for 24 with the addition, that means that 12 busses are only 20 percent of all the busses. 12x5=60, and since you don't have the other 12 busses yet, you don't currently own 72.

-Okay that's what I'm thinking right now but hey, I'm only in 7th grade so I'm not great at math. If someone would please explain it to me, that'd be awesome!!

Loved it - brought out the old 'algebra' brain. And we thought we'd never use this stuff in real life.

My formula was 1.4X = X + 12 + 12 (although I almost forgot the additional 12 that were outside).

Thanks for making my brain work!

My formula was 1.4X = X + 12 + 12 (although I almost forgot the additional 12 that were outside).

Thanks for making my brain work!

I thought the math was a little different than what I am used to!!!

My mom also made the same mistake that most of you made... or almost made. She forgot to add the aditianal (please correct me if I spell the previous word wrong!!!) 12 busses. I agree with that person that said it was easy and could be done without pencil, paper, or calculator. Sorry, I don't have very good short term momory.

lindquist 25 -- you're absolutely right that the garage can house 60 buses. you have to remember, though, that the garage is full with 12 more buses sitting outside -- so you currently have 72. when you expand the garage and add an additional 12, you'll have 84 buses total.

no biggie -- seems a lot of people forgot to add the 12 buses back in

no biggie -- seems a lot of people forgot to add the 12 buses back in

wow i was waayyy off i thought it was 16!

lol that was way too easy...

I was brain dead. Normally I could have figured this out but somehow the more I figured the more confused I got. Finally just quit and looked at the answer. Made sense then so maybe I will be able to use my algebra next time. I used to be really good at it. Sorry! Nice job tho.

Ha! Ha! Ha! Ha! Word problems are always the worst. My grandson is in the second grade and he figured it out before I did. Good one. Do more.

Apr 12, 2006

i got it!! it was easy and i didn't use the calculator.. ^.^

A simple teaser, very cleverly worded! The no. 12 appears twice in the problem, and this is a deliberate red herring to confuse solvers. A good one. Loved it.

## Follow Braingle!