Question 1182504
<br>
A quick and easy non-algebraic method for solving this and any similar two-part mixture problem (if an algebraic solution is not required)....<br>
Think of starting with the 45% fruit juice and adding the 95% fruit juice, stopping when you get to 55%; model that on a number line.<br>
55 is 10/50 = 1/5 of the way from 45 to 95.  (55-45=10; 95-45=50)<br>
That means 1/5 of the mixture is the 95% fruit juice you are adding.<br>
ANSWER: 1/5 of 110 pints, or 22 pints, of 95% fruit juice; the other 88 pints of 45% fruit juice.<br>