contestada

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?

Respuesta :

Area of land that Mr. Daniel has = [tex]1 \frac{2}{3} = \frac{1*3 + 2}{3} = \frac{5}{3} [/tex] Acres.

One Bag of fertilizer cover [tex] \frac{1}{9} [/tex] Acres area.

So area covered by  20 bag of fertilizer will = [tex]20 * \frac{1}{9} = \frac{20}{9} [/tex] Acres.

But Mr. daniel has only [tex] \frac{5}{3} [/tex] Acres area.

So we can say left over area covered by 20 bags = [tex] \frac{20}{9} - \frac{5}{3} [/tex]
                                                                                    [tex]= \frac{20 - 15}{9} = \frac{5}{9} [/tex]
 
So the left over area covered by 20 bags = [tex] \frac{5}{9} [/tex] Acres.

We know one bag covered [tex] \frac{1}{9} [/tex] acres area.

So number of left over bags = [tex] \frac{ \frac{5}{9} }{ \frac{1}{9} } = \frac{5*9}{1*9} = 5 [/tex]

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

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