Let's label the amount of 25% acid as x and the amount of 10% acid as y.
We want to find the values of x and y that satisfy the equation:
0.25x + 0.1y = 0.12(15)
This equation represents the total amount of pure acid in the mixture.
Let's solve for x:
0.25x + 0.1y = 1.8
Multiply both sides of the equation by 100 to get rid of the decimals:
25x + 10y = 180
Now let's solve for y in terms of x:
y = (180 - 25x)/10
We also know that the total amount of the mixture is 15 liters, so:
x + y = 15
Substituting the expression for y:
x + (180 - 25x)/10 = 15
Multiplying both sides of the equation by 10 to get rid of the fraction:
10x + 180 - 25x = 150
Combine like terms:
-15x = -30
Divide both sides of the equation by -15:
x = 2
Now let's substitute this value of x back into the equation for y:
y = (180 - 25(2))/10 = (180 - 50)/10 = 13
Therefore, we need 2 liters of 25% acid and 13 liters of 10% acid to obtain 15 liters of 12% acid.
How many liters each of 25% and 10% acid should be mixed to obtain 15 liters of 12% acid?
Kind of Solution
Liters of Solution
Amount of Pure Acid
0.25
x
0.1
y
0.12
15
1 answer