Respuesta :
If you mix 1 liter of the 10% solution with 1 liter of the 30% solution, you will have 2 liters of 20% solution. Keeping that in mind, you must mix half of the number of liters with 10%, and the other half with 30% in order to get 20%. So knowing all those things, we can do the problem. She needs 15 liters of 20%, so you need to mix 7.5 liters of 10% with 7.5 liters of 30%. After mixing those, you'll have 15 liters of 20% solution. I hope this helps. Please put as brainliest.
Joy needed 7.5 liters of each of 30% and 10% saline solution in order to make 15 litre 20% saline solution.
What is the Percentage?
The percentage is a measurement of ratio or mathematical quantity or fraction out of total 100.
Let the quantity required for 30% solution be x.
Total quantity of solution is 15 liters
Hence quantity required for 10% solution is = 15-x
Saline in 15 litre of 20% saline solution is = 15*(20/100) = 3
Saline in x litre of 30% saline solution is = x*(30/100) = 0.3x
Saline in (15-x) litre of 10% saline solution is = (15-x)*(10/100) = 0.1(15-x)=1.5-0.1x
According to conditon,
0.3x+(1.5-0.1x) = 3
0.3x-0.1x = 3-1.5
0.2x = 1.5
x = 1.5/0.2 =7.5
Then 30% solution needed 7.5 liters and 10% solution needed (15-7.5)=7.5 liters.
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