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 Maths Question 9
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By: shirley wee (offline)  Friday, June 15 2012 @ 11:41 AM CDT (Read 659 times)  
shirley wee

Hi everybody! I am stuck with this maths questions again.

Kenneth and Joanna were each given some money. If Kenneth spent half of the amount spent by Joanna, he would have $2400 left. If Kenneth spent twice as much as Joanna, he would would still have $900 left when Joanna had spent all her money.
a) How much money was given to Kenneth?
b) How much less money than Kenneth did Joanna have?

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By: echeewh (offline)  Saturday, June 16 2012 @ 07:01 PM CDT  
echeewh

Hey Shirley,

Following pls find the worked solution:

<Cond1>
**<-1u-><------- 2400 --------------->
K |------|----------------------------------|
J |-------|-------|
**<------2u---->

<Cond2>
**<-----------4u-------------><- 900 ->
K |------|-------|-------|-------|----------|
J |-------|-------|
**<-----2u---->

*Gap**|<------ 1500 ----->|
*Diff***|<------- 3u ------->|

3u --> 1500
1u --> 500

(a) K (at first) = 1u + 2400 --> 500 + 2400 = $2900
(b) J = 2u --> 2 x 500 = $1000
****Less = 2900 - 1000 = $1900

Joanna had $1900 less than Kenneth

===============================================

Trust the above helps.

Do let me know if this is different from the answerkey.

Cheers,
Edward

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