Question
The ratio of the number of cats
to sheep on a farm is 5:8. The total number of cats and sheep is 91. The combined weight of all the cats is 1540 kg, and the ratio of the average weight of a cat to that of a sheep is 11:8. What is the average weight of a sheep?Solution
ATQ,
Number of cats in the farm = 91 × (5/13) = 35 Number of sheep in the farm = 91 – 35 = 56 Average weight of a cat = 1540 ÷ 35 = 44 kg So, average weight of a sheep = 44 × (8/11) = 32 kg
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