The soil for house plants consists of 12% water. If someone wants to plant flowers
that need 28% water in the soil, how many liters of water they need to add to 5 kg of
soil?

Respuesta :

Given :

anna bought soil that contains 12% of water .
she wants to plant a flower that needs 18% of water .

To Find :
how much water does she need to pour in 5 kg of soil to plant the flower​

Solution:

anna bought soil that contains 12% of water

5 kg of soil

=> Water = (12/100)2 = 0.6 kg

Let say Water poured = W kg or litre

Total Water = 0.6 + W kg

Total Soil = 5 + W kg

18% of water
=> (18/100)(5 + W) = 0.6 + W
=> 90 + 18W = 60 + 100W
=> 30 = 82W
=> W = 30/82
=> W = 0.366 kg or 0.366 litre
or 3.66 dl

3.66 dl water to be added

The liters of water they need to add to 5 kg of soil is equal to

3.66 dl water.

We have given,

Anna bought soil that contains 12% of water.

She wants to plant a flower that needs 18% of water.

We have to determine, how much water does she need to pour in 5 kg of soil to plant the flower​

Now, anna bought soil that contains 12% of water

5 kg of soil

Water = (12/100)2 = 0.6 kg

Let  Water poured = W kg or liter

What is the total water?

The addition of the amount of all water given in the question.

Therefore we get,

Total Water = 0.6 + W kg

Total Soil = 5 + W kg

18% of water

(18/100)(5 + W) = 0.6 + W

90 + 18W = 60 + 100W

30 = 82W

W = 30/82

W = 0.366 kg or 0.366 litre

or 3.66 dl

The liters of water they need to add to 5 kg of

soil is equal to 3.66 dl water.

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