Question 1189846
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The other tutor showed a standard formal algebraic solution; you should understand the method and be able to use it on another similar problem.<br>
That particular tutor usually explains in words everything you need to do to solve the problem, rather than simply showing the calculations.  His doing that helps you to see exactly how much work is involved in solving the problem by that method.<br>
Compare that amount of work to the amount of work required with the following solution method, which you can use if formal algebra is not required.<br>
(1) Look at the percentages of the two ingredients and the mixture on a number line -- 70, 75, and 95 -- and observe/calculate that 75 is 5/25 = 1/5 of the way from 70 to 95.
(2) That means 1/5 of the mixture needs to be the 95% antifreeze.<br>
ANSWER: 1/5 of 50 gallons, or 10 gallons, of the 95% antifreeze; the other 40 gallons of the 70% antifreeze.<br>
CHECK:
.70(40)+.95(10)=28+9.5=37.5
.75(50)=37.5<br>