Fatima, Ganga and Heena bought two packets of sweets, 140 in all. The ratio of the number of sweets Fatima took to the number of sweets Ganga took is 3 : 4. The ratio of the number of sweets Ganga and Heena took is 6 : 7. How many sweets did each take?

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Solution

Total number of sweets bought = 140

Ratio of the number of sweets Fatima took to the number of sweets Ganga took = 3:4

Ratio of the number of sweets Ganga took to the number of sweets Heera took = 6:7

Let the number of sweets taken by Fatima be f, Heera be h, Ganga be g.

Number of sweets bought by Fatima =× 140 = 9 × 4 = 36

Similarly, sweets bought by Ganga =× 140 = 12 × 4 = 48

Sweets bought by Heera =× 140 = 14 × 4 = 56

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