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 By: LeowML (offline)  Wednesday, February 08 2012 @ 10:35 PM CST (Read 1106 times)
LeowML

Julian had 300 more cards than Faizal. Julian gave 3/5 of his cards to Faizal. Faizal then gave 1/4 of the total number of what he had then to Julian. In the end, Faizal had 300 more cards than Julian. How many cards did Julian have at first?

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Registered: 12/31/06
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 By: awyw1201 (offline)  Thursday, February 09 2012 @ 06:46 AM CST
awyw1201

Quote by: LeowML

Julian had 300 more cards than Faizal. Julian gave 3/5 of his cards to Faizal. Faizal then gave 1/4 of the total number of what he had then to Julian. In the end, Faizal had 300 more cards than Julian. How many cards did Julian have at first?

[/QUOTE

At first
Julian----5u + 300
Faizal----5u

Julian gave 3/5 to Faizal, 3/5 x 300=180
Julian---5u - 3u + 300 - 180=2u + 120
Faizal--- 5u + 3u + 180= 8u + 180

Faizal gave 1/4 to Julian, 1/4 x 180 = 45
Julian---2u + 2u + 120 + 45= 4u + 165
Faizal---8u - 2u + 180 - 45 = 6u + 135

Faizal has 300 more, this means
4u + 165 + 300 = 6u + 135
2u = 465 - 135 = 330
1u = 165

Julian at first----165 x 5 + 300 = 1125

Ans : 1125 cards

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 By: LeowML (offline)  Thursday, February 09 2012 @ 06:23 PM CST
LeowML

Got it. Thanks for the answer.

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 By: awyw1201 (offline)  Sunday, February 12 2012 @ 07:16 PM CST
awyw1201

No prob

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Registered: 07/08/11
Posts: 87

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