OG 12 DS #97

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Niner710
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Topic: OG 12 DS #97
PostFri Nov 20, 2009 8:41 pm
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If Aaron, Lee and Tony have a total of $36, how much money does Tony have?
1) Tony has twice as much money as Lee and 1/3 as much as Aaron.
2) The sum of the amounts of money that Tony and Lee have is half the amount that Aaron has.

It seems like an easy question but 1) tripped me up for some reason. Can someone give me a better explanation then OG.
It seems I approached it the wrong way.

For 1)
T = 2L
T = 1/3A
A + L + T = 36

The OG uses part vs. whole but I guess I don't understand why my way of approaching the problem doesn't work.

Can someone explain? Thanks.
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thephoenix
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PostFri Nov 20, 2009 8:53 pm
from Q stem we get
A+L+T=36

FROM S1)
T=2L--------->L=T/2
T=1/3A------>A=3T

i.e
3T+T/2+T=36
9T/2=36
T=8

HENCE SUFF.

S2)
A=(L+T)/2------------>L+T=2A
NOT SUFF
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