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Question

There were a total of 494 apples and mangoes at a fruit stall. 4/7 of the number of apples was 240 more than 3/4 of the number of mangoes. How many apples were at the fruit stall?

Answer

apples : 7u
mangoes : 4p
7u + 4p ——- 494
21u + 12p ——- 1482
4u – 3p ——- 240
16u – 12p ——- 960
21u + 16u = 37u ——- 1482 + 960 = 2442
1u ——- 2442/37 = 66
7u ——- 7 x 66 = 462

Ans : 462 apples.

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This  is a Simultaneous Equation question. 

      R1         R2       R1 × 3  R2 × 4   R1 + R2   
Apple 7 4 21 16 37
Magoes 4 -3 12 -12 0
Total  494 240 1482 960 2442

37u = 2442

1u = 2442 ÷ 37 = 66

7u = 66 × 7 = 462 apples 

 

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