Mr. Frank has 1.06 kilograms of fertilizer for the plants in his nursery. He wants every plant to get 95 mg of fertilizer 2 times each year. What is the number of plants he could fertilize with that amount? How much fertilizer will he have left over?

Respuesta :

Answer:

2789 ,  180 mg

Step-by-step explanation:

Given:

Mr. Frank has 1.06 kilograms of fertilizer for the plants in his nursery.

He wants every plant to get 95 mg of fertilizer 2 times each year.

Question asked:

What is the number of plants he could fertilize with that amount?

How much fertilizer will he have left over?

Solution:

First of all convert 1.06 kilograms into milligram,

1 kg = 1000000 mg

1.06 kg = 1060000 mg

He wants to fertilized 2 times each year.

Each year, he uses fertilizer for one plant = 2 [tex]\times[/tex] 95 = 190 mg

190 mg fertilizer is used to fertilize number of plant = 1

1 mg fertilizer is used to fertilize number of plant = [tex]\frac{1}{190}[/tex]

1060000 mg fertilizer is used to fertilize number of plant = [tex]\frac{1}{190} \times1060000=\frac{1060000}{190} =5578\frac{180}{190}[/tex]

That means, 5578 mg used for fertilizing the plant twice a year and 180 mg is left over.

Now, to find the number of plants he could fertilize, we will divide 5578 by 2 because it is twice the number of plant as calculated above:-

5578 [tex]\div[/tex] 2 = 2789 plants

Thus, total 2789 plants could be fertilized and 180 mg will be left over.