Question

a scientist has two solutions which she has labeled solutions A and solution B each contains salt. she knows that solution A is 70% salt and solution B is 95% salt. she wants to obtain 130 ounces of a mixture that is 80% salt how many ounces of each solution should she use​

Answer 1

Let x = the number of ounces of Solution A

Let y = the number of ounces of Solution B

x + y = 180 y = 180 - x

.60x + .85y = .75(180)

.60x + .85y = 135 Multiply both sides of the equation by 100 to remove the decimal points.

60x + 85y = 13500

60x + 85(180 - x) = 13500

60x + 15300 - 85x = 13500

-25x = -1800

x = 72ounces

y = 180 - 72

y = 108 ounces