A man uses 2/5of his piece of land to keep poultry,1/4 for bulls, 1/7 of the remainder for goats and test for sheep.If he uses 12 acres for goats, determine the total acreage he uses for sheep. (3marks)

We will first have to find the fraction of the whole land goats use. If we add 2/5 and 1/4, we will get 13/20. Simplifying the expression 1-13/20 gets 7/20, which is the total fraction of land the goat and sheep has. The goat will then get 7/20*1/7 of the whole land, which is 1/20. The sheep will then get 7/20*6/7 of the entire land, which is 3/10. Because 1/20 of the whole land is 12 acres, the farmer has 240 acres. SImplifying the expression 240*3/10 gets 72 acres

A man uses 2/5of his piece of land to keep poultry,1/4 for bulls, 1/7 of the remainder for goats and test for sheep.If he uses 12 acres for goats, determine the total acreage he uses for sheep. (3marks)​

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A man uses 2/5of his piece of land to keep poultry,1/4 for bulls, 1/7 of the remainder for goats and test for sheep.If he uses 12 acres for goats, determine the total acreage he uses for sheep. (3marks)