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Sunday, October 22 2017 @ 05:42 PM CDT
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 Maths problem sum
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By: layhongong (offline)  Monday, June 04 2012 @ 07:16 AM CDT (Read 1335 times)  
layhongong

1)Mr Leong won some money in a lucky draw.
He spent 1/3 of the money and the additional $20 on a wallet.
Next, he gave his family a treat which he spent $30 and 3/5 of the remaining money.
Finally, he bought a shirt and had $18 left.
If the shirt cost $138 less than what he had spent on the treat, what was the amount of money Mr Leong won in the lucky draw?

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By: GIM (offline)  Monday, June 04 2012 @ 09:17 AM CDT  
GIM

Not sure if i am correct, this is my answer:
T=>Total
R=>remainder

Since 3/5R+30+18=(18+S)+138
And (18+S) is 2/5R

1/5R.....138-30-18=90
R………..90×5=450

2/3T……450+30+20=500
T…………500×3/2=750
He won $750 in the lucky draw.

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By: GIM (offline)  Monday, June 04 2012 @ 09:18 AM CDT  
GIM

Not sure if i am correct, this is my answer:
T=>Total
R=>remainder

Since 3/5R+30+18=(18+S)+138
And (18+S) is 2/5R

1/5R.....138-30-18=90
R………..90×5=450

2/3T……450+30+20=500
T…………500×3/2=750
He won $750 in the lucky draw.

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By: mlteo (offline)  Monday, June 04 2012 @ 09:26 PM CDT  
mlteo

Good work, GIM.

Do you have a solution using model construction ?

Would appreciate if you cangive us from that perspective.

Thanks.

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By: GIM (offline)  Sunday, June 17 2012 @ 05:34 AM CDT  
GIM

This should be the correct solution

T: Total
R: Remainder

Model----[_____1/3T_____][_____1/3T_____][____1/3T_____]
_______|<-------------------->|<-->| |
Wallet--------->(1/3T+$20)|
Remainder--------------------------->[1/5R][1/5R][1/5R][1/5R][1/5R]
__________________________|<------------------->|<-->|
Treat---------------------------------->(3/5R+$30 )
___________________________________________-|<------>|
Shirt & left--------------------------------------------------------->(S+$18)

S---------->Treat - $138
S----------> (3/5R + $30) - $138
S----------> 3/5R - $108

2/5R -----> $30 + S + $18
substitute above S,
2/5R-----> $30 + (3/5R - $108) + $18
2/5R-----> 3/5R - $60
1/5R-----> $60
R---------> $60 x 5 = $300

2/3T-----> $20 + $300 = $320
T---------> $320 x 3/2 = $480 (answer)

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