SOLUTION: Please help me solve this word problem for chemistry How much water must you add to 100 mL of orange juice concentrate if you want your final juice to be 20%? (Hint : This is a d

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Question 810499: Please help me solve this word problem for chemistry
How much water must you add to 100 mL of orange juice concentrate if you want your final juice to be 20%? (Hint : This is a dilution formula. There will be two steps.)

Found 3 solutions by josmiceli, richwmiller, stanbon:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +w+ = ml of water to be added
+100+%2F+%28+100+%2B+w+%29+=+.2+
+100+=+.2%2A%28+100+%2B+w+%29+
+100+=+20+%2B+.2w+
+.2w+=+80+
+w+=+400+
400 ml of water must be added
check:
+100+%2F+%28+100+%2B+w+%29+=+.2+
+100+%2F+%28+100+%2B+400+%29+=+.2+
+100%2F500+=+.2+
+1%2F5+=+.2+
+.2+=+.2+
OK

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
Two ways to solve this
1)
from the water viewpoint
x=.8(x+100)
x=400 mL
2)
from the juice viewpoint
100=.2(x+100)
x=400 mL
check
.20*(500)=500/5=100 mL of juice
ok


Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Question : how much water must you add
100 mL of orange juice concentrate if you
Want your final juice to be 20%.
------
water + water = water
0*100 + 1*x = 0.20(100+x)
100x = 20*100 + 20x
80x = 2000
x = 25 mL (amt. of water needed)
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Cheers,
Stan H.
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