Problema Solution
How many pints of a 1% hydrogen peroxide solution should be mixed with a 4% hydrogen peroxide solution to obtain 10 pints of a 2% hydrogen peroxide solution?
Answer provided by our tutors
0.01x + 0.04y = 10 * 0.02 ... eq1
x+y = 10 ... eq2
100 * [0.01x + 0.04y = 10 * 0.02]
1x+4y=20 ... EQ3
(1x+4y=20)
-( x+y = 10)
============
0 + 3y = 10
y = 10/3 = 3.333333333 (of 4 % solution)
x + y = 10
x+ 10/3 = 10
x = 10 - 10/3 = 6.666666667 (of 1% solution)
3.333333333 (of 4 % solution)
6.666666667 (of 1% solution)
0.01x + 0.04y = 10 * 0.02 ... eq1
x+y = 10 ... eq2
100 * [0.01x + 0.04y = 10 * 0.02]
1x+4y=20 ... EQ3
(1x+4y=20)
-( x+y = 10)
============
0 + 3y = 10
y = 10/3 = 3.333333333 (of 4 % solution)
x + y = 10
x+ 10/3 = 10
x = 10 - 10/3 = 6.666666667 (of 1% solution)
3.333333333 (of 4 % solution)
6.666666667 (of 1% solution)