Question

mr. daniels has 1 2/3 acres of land in which he plans to fertilize. if each bag of fertilizer covers 1/9 of an acre and he bought 20 bags, how much will he have leftover?

Answer 1

Area of land that Mr. Daniel has =
`1 (2)/(3) = (1*3 + 2)/(3) = (5)/(3)` Acres.

One Bag of fertilizer cover
`(1)/(9)` Acres area.

So area covered by 20 bag of fertilizer will =
`20 * (1)/(9) = (20)/(9)` Acres.

But Mr. daniel has only
`(5)/(3)` Acres area.

So we can say left over area covered by 20 bags =
`(20)/(9) - (5)/(3)`

`= (20 - 15)/(9) = (5)/(9)`

So the left over area covered by 20 bags =
`(5)/(9)` Acres.

We know one bag covered
`(1)/(9)` acres area.

So number of left over bags =
`( (5)/(9) )/( (1)/(9) ) = (5*9)/(1*9) = 5`

So we can say number of left over fertilizer bags are = 5