Problema Solution
You need a 15% acid solution for a certain test, but your supplier only ships 10% solution and a 30% solution. Rather than pay the hefty surcharge to have the supplier make a 15% solution, you decide to mix 10% solution with 30%, to make your own 15% solution. You need 10 liters of the 15% acid solution. How many liters of 10% solution and 30% solution should you use?
Answer provided by our tutors
let the amount of 10% solution is x and 30% solution is y
thus,
0.1x+0.3y=0.15(x+Y)
again x+y=10
thus the equation are
0.1x+0.3y=1.5--(1)
and x+y=10
solving
x=7.5lt and y=2.5lt
thus , 10% solution=7.5lt and 30% sol=2.5lt