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Question

There were 3/5 as many boxes of lychees as rambutans. After the stall owner bought in 30 boxes of lychees and 30 boxes of rambutans, there were 2/3 as many boxes of lychees as rambutans in the stall. How many boxes of fruits were there at first?

Answer

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boxes of lychees : boxes of rambutans : total
3 units : 5 units : 8 units
(3 units + 30)/(5 units + 30) = 2/3
(3 units + 30) x 3 = 9 units + 90 = (5 units + 30) x 2 = 10 units + 60
1 unit = 90 – 60 = 30
8 units = 240

Ans : 240 boxes of fruits.

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This is a Before After question. 

  Before    Transfer   After    
Lychee 3u + 30 3u + 30  
Rambutan  5u + 30 5u + 30  
Total 8u      

(3u + 30) / 2   =  (5u + 30)/ 3

9u + 90 = 10u + 60

90 – 60 = 10u – 9u

1u = 30

8u = 8 × 30 = 240 boxes

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