Question 1189925
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A quick and easy way to solve any 2-part mixture problem like this, if the numbers are "nice", and if a formal algebraic solution is not required.<br>
(1) Look at the three percentages 20, 60, and 70 (on a number line, if it helps) and observe/calculate that 60 is 40/50=4/5 of the way from 20 to 70.
(2) That means 4/5 of the mixture is the 70% fruit juice.<br>
ANSWER: 4/5 of 120 pints, or 96 pints, of the 70% fruit juice; the other 24 pints of the 20% fruit juice.<br>
CHECK: .70(96)+.20(24)=67.2+4.8=72
.60(120)=72<br>