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Question

Mr Abdul made tuna and curry fillings for some puffs. 3/5 of the filling he made was tuna and the rest was curry potato. After he used 1/8 kg of the tuna filing and made another 3/4 kg of curry potato filling, he then had equal amounts of tuna filling and curry potato filling left. How much tuna filling did he make at first? Give your answer as a mixed number in its simplest form.

Answer

tuna : 3 units
curry potato : 2 units
3 units – 1/8 kg = 2 units + 3/4 kg
1 unit = 7/8 kg
3 units = 2 5/8 kg

Ans : 2 5/8 kg.

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                   T  :  C  :  Total

At first       3  :  2  :  5

       -1/8kg  |      |+3/4kg

                    1  :   1

3u – 1/8  = 2u + 3/4  ……×8 

24u – 1 = 16u + 6

24u – 16u = 6 + 1

8u = 7

1u = 7/8

Tuna filling at first = 3u

                                    = 3 × 7/8 kg

                                    = 21/8 kg

                                    = 2 5/8 kg (ans)

 

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