Problema Solution
For a certain experiment, a student requires 100 milliliters of a solution that is 8% HCI. The storeroom has only solutions that are 5% HCI and 15% HCI. How many milliliters of each available solution should be mixed to get 100 milliliters of 8% HCI?
Answer provided by our tutors
let
x = milliliters of the 5% HCI
y = milliliters of the 15% HCI
a student requires 100 milliliters of a solution
x + y = 100
the mix should be 8% HCI
5% of x + 15% of y = 8% of 100
0.05x + 0.15y = 0.08*100
by solving the system of equations
x + y = 100
0.05x + 0.15y = 0.08*100
we find
x = 70 ml
y = 30 ml
click here to see the step by step solution of the system of equations
70 ml of the 5% HCI and 30 ml of the 15% HCI should be used for the mix.