Scientist with salt

Question

A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 20% salt and Solution B is 45% salt. She wants to obtain 160ounces of a mixture that is 30% salt. How many ounces of each solution should she use?

Answer 1

X+y = 160

0.2x + 0.45y = 0.3*160 = 48

0.2x + 0.45(160 - x) = 48

0.2x + 72 - 0.45x = 48

=-.25x = -24

x = 96

y = 64