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David had 2 bags of marbles. After he had sold 44 marbles from Bag X to his friend, the number of marbles in Bag Y was 5/7 of the number of marbles in Bag X. Given that there were 2/5 as many marbles in Bag Y as in Bag X originally, find the number of marbles in Bag X at first?

 May 20, 2022
 #1
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multiply the 44 by 5/7 then divide by 2/5. EZ

 May 20, 2022
 #2
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Let no of Marbles originally in Bag X was (x)

So in Bag Y was 'y'

given: y = 5/7 (x - 44) ---- (1)

also y = 2/5x ---- (2)

using Eq (1) and (2)

2/5x = 5/7x (x - 44)

=> 14x = 25 (x - 44)

=> 14x = 25x - 25 * 44

=> 1100 = 25x - 14x

=> 11x = 1100

=> x = 1100/11

=> x = 100

Original in Bag X there were 100 marbles

 May 22, 2022

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