Question 1199770
<br>
(1) A typical setup for solving using formal algebra....<br>
let x = number of pints of 60% pure juice
then 150-x = number of pints of 85% pure juice<br>
x pints of 60%, plus (150-x) pints of 85%, yields 150 pints of 75%:<br>
{{{.60(x)+.85(150-x)=.75(150)}}}<br>
I leave it to you to solve that equation to find the answer to the problem.<br>
(2) A quick and easy informal method, if formal algebra is not required....<br>
Observe/calculate (using a number line, if it helps) that 75% is 15/25 = 3/5 of the way from 60% to 85%.  That means 3/5 of the mixture is the 85% pure juice.<br>
ANSWER: 3/5 of 150 pints, or 90 pints, is the 85% pure juice; the other 60 pints are the 60% pure juice<br>
CHECK:
.85(90)+.60(60) = 76.5+36=112.5
.75(150) = 112.5<br>