Jane needs to make 10 liters of a solution that is 10% salt. She has a solution that is 5% salt and a solution that is 25% salt. How much of each solution should Mia use?

Select one:

a. 4 liters of the 5% salt solution and 6 liters of the 25% salt solution

b. 2.5 liters of the 5% salt solution and 7.5 liters of the 25% salt solution

c. 7.5 liters of the 5% salt solution and 2.5 liters of the 25% salt solution

d. 8 liters of the 5% salt solution and 2 liters of the 25% salt solution

Guest Feb 21, 2019

#1**0 **

The total salt in the final solution has to equal the salt from the component solutions

x = liters of 25% salt content = .25x

10-x = liters of 5 % salt content = .05(10-x)

final solution salt content = .1 (10) = 1

.25x+ .05(10-x) = 1

.25x + .5 - .05x = 1

.20x = .5

x = 2.5 liters of 25% and 10 -2.5 = 7.5 liters of 5 %

ElectricPavlov Feb 21, 2019

#2**+2 **

Let the no. of liters of 5% solution= x

So...the no. of liters of 25% solution is (10 - x)

So.....we have this

5 % solution * amt + 25% solution * amt = 10% solution * 10 liters

.05 x + .25(10 - x) = .10 * 10 simplify

05x + 2.5 - .25x + 1

-.20x + 2.5 = 1 subtract 2.5 from both sides

-.20x = - 1.5 divide both sides by .20

x = 7.5 liters of 5% solution

And

10 - x = 10 - 7.5 = 2.5 liters of 25% solution

Answer " C "

CPhill Feb 21, 2019