You work in a pharmacy that mixes different concentrations of saline solutions for its customers. the pharmacy has a supply of two concentrations, 0.50% and 2%. the function y=100(0.02)+x(0.005)/100+x gives the amount x in milliliters of the 0.5% solution you must add to 100 milliliters of the 2% solution to form a new concentration y of saline solution. how many milliliters of the 0.5% solution must you add for the combined solution to have a concentration of 0.65%?
y = .65 % = .0065
.0065 = [100(.02) + x(.005) ] /(100+x) ( your question has the equation incorrectly written)
.0065 (100+x) = 2 + .005x
.65 +.0065x = 2 + .005x
.0015 x = 1.35
x = 900 ml of .5 % solution