Mixture problem

[anupa_panjari]

This problem is from NOVA

How many ounces of a solution that is 30 percent salt must be added to a 50 ounce solution that is 10 percent salt so that the resulting solution is 20 percent salt?

20
30
40
50
60

Ans - 50

I took the below approach

% Salt ounces ounces of salt

original 0.1 50 5
added 0.3 x 0.3x
new 0.2 50+0.3x 5+0.3x

Then wrote an equation as

0.2(50+0.3x) = 5+0.3x
Solving for x I DO NOT get 50

Could you please tell me were did I go wrong

Also could you please show me with some good example how to expand the grid when there are 3 mixtures

[RonPurewal]

I took the below approach

% Salt ounces ounces of salt

original 0.1 50 5
added 0.3 x 0.3x
new 0.2 50+0.3x 5+0.3x

i highlighted your mistake above; you added 50 to x, and somehow wound up with 50 + 0.3x.

try your equation with (50 + x) instead; it will work.

Also could you please show me with some good example how to expand the grid when there are 3 mixtures

please supply us with a problem or two (make a new thread please) in which there are three mixtures, and we'll be glad to do this. thanks.