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
1 answer:
Answer
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
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