Question 1159823: The Royal Fruit Company produces two types of fruit drinks. The first type is
70
%
pure fruit juice, and the second type is
95
%
pure fruit juice. The company is attempting to produce a fruit drink that contains
75
%
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52788)   (Show Source):
You can put this solution on YOUR website! .
@greenestamps, you get ahead me, unfortunately . . .
I was going to re-direct it to the TRASH SECTION . . . (due to their formatting . . . )
Answer by greenestamps(13200)  (Show Source):
You can put this solution on YOUR website!
(1) A standard formal algebraic solution method....
x ounces of 70% juice, plus (130-x) ounces of 95% juice, equals 75% of 130 ounces of juice:
Solve the equation using basic algebra. It is straightforward, but tedious, because the numbers are not "nice".
I leave it to you to finish the solution by that method; it's good practice in basic algebra for you.
(2) A quick and easy informal way to solve mixture problems like this....
The ratio in which the two ingredients have to be mixed is exactly determined by where the 75% of the mixture lies between the 70% and 95% of the two ingredients.
(a) 75% is 1/5 of the way from 70% to 95%. (70 to 95 is a difference of 25; 70 to 75 is a difference of 5; 5/25 = 1/5.)
(b) That means 1/5 of the mixture has to be the higher percentage ingredient.
ANSWER: 1/5 of 130 ounces, or 26 ounces, of 95% juice; the other 104 ounces of 70% juice.
CHECK:
.95(26)+.70(104) = 24.7+72.8 = 97.5
.75(130) = 97.5
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