Question

a farmer has sheep and cows in ratio 8:3
1.how many shhep has the farmer if he has 180 cows
2.find the ratio of the no.ofsheep to the total no.of animals the farmer has
3.find the ratio of the total no.of animals with the farmer to the no.of cows with him

Answer 1

1. If 3x =180 then x =60
Therefore 8x=8*60=480.
2.480:660=48:66=24:33.
3. 660:180=66:18=33:9=11:3
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Answer 2

Ratio of the sheep and cows the farmer has=8:3
Number of cows=180
1)Let the no. of sheep be x
Therefore 8:3=x:180
Product of extreme terms=product of middle terms
So 8*180=3x
x=8*180/3=480
2)No of sheep=480
Total no of animals=480+180=660
Ratio of no of sheep to the total no of animals=480:660=8:11
3)Total no of animals=660
No of cows=180
ratio of the total no.of animals with the farmer to the no.of cows with him=660:180=11:3