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Forum
-> Parenting our children
-> Teenagers and Older children
Pandabeer
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 Wed, Oct 23 2013, 9:46 pm
Can you explain and answer this question:
on a tour bus there are 100 passengers on three buses. two of the busses each carry four fewer passengers than the third bus. how many passengers are on each bus
Thanks
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Pandabeer
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Wed, Oct 23 2013, 10:01 pm
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my DD figured it out - thanks
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greenfire
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Wed, Oct 23 2013, 10:28 pm
lucky ~ cause I didn't really want to do homework 
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Pandabeer
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Wed, Oct 23 2013, 10:31 pm
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I happen to like math and don't mind doing it. I just had to figure out what I did wrong
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groisamomma
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Wed, Oct 23 2013, 10:59 pm
3x-8=100
If x = 36 then the other two buses each carry 32 passengers
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Pandabeer
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Wed, Oct 23 2013, 11:02 pm
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how did you get to the 36? the answer is correct BTW
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groisamomma
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Wed, Oct 23 2013, 11:07 pm
X is the first bus, so (x-4) are each of the other two buses because they have four less passengers than Bus X.
Add all three buses together X+(X-4)+(X-4)=100
Now combine the Xs to get 3x and combine the two -4s to get -8 so it's
3x-8=100
Now add eight to both sides so it cancels out on the left and adds to the right to become
3x=108
Now divide by 3 on both sides to get X isolated so it becomes
x=36
Now since Bus X is 36 and the other two have four less, then they each have 32 passengers. Check by adding 36+32+32=100.
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DrMom
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Wed, Oct 23 2013, 11:09 pm
Too many Tweety Birds. I thought you were talking to yourself. 
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groisamomma
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Wed, Oct 23 2013, 11:16 pm
| DrMom wrote: | | Too many Tweety Birds. I thought you were talking to yourself. |
Yeah, because I usually display my insanity for all to see.
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greenfire
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Wed, Oct 23 2013, 11:16 pm
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so we're not taking fractioned people ~ whew
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