Question 1162264
<br>
If a formal algebraic solution is not required, here is a quick and easy informal path to solving a "mixture" problem like this.<br>
(1) The 80% target percentage is 5/8 of the way from 72% to 84.8%:
72 to 84.8 is a difference of 12.8
72 to 80 is a difference of 8
8/12.8 = 80/128 = 5/8<br>
That means 5/8 of the mixture needs to be the higher percentage ingredient.<br>
ANSWER: 5/8 of 9mg = 45/8 = 5.625mg of 84.8% purity; the other 3.375mg of 72%.<br>
CHECK:<br>
0.0848(5.625)+.072(3.375) = .477+.243 = .72<br>
.08(9) = .72<br>