SOLUTION: I have tried to work tyhis problem out every which way and just can not figure it out. There does not seem to be an example of this in my book. Thank You, Nick Raquel is m

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Question 572881: I have tried to work tyhis problem out every which way and just can not figure it out. There does not seem to be an example of this in my book.
Thank You,
Nick

Raquel is mixing lemon-lime soda and a fruit juice blend that is 45% juice. If she uses 3 quarts of soda how many quarts of fruit juice must be added to produce punch that is 30% juice?
Found 2 solutions by solver91311, josmiceli:
Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

You really shouldn't fib to your math tutor. If, in fact, you had tried to solve the problem every which way, then you would have solved it because every way must include the right way.

Let be the quantity of juice to add to the 3 quarts of soda. Then is the amount of pure juice in the fruit juice blend. The total amount of liquid in the final mixture has to be quarts and the amount of pure juice in that mixture has to be AND it has to be the same as the amount of pure juice in the blend. So:

Just solve for

John

My calculator said it, I believe it, that settles it

Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
Let = quarts of fruit juice blend to be added
In words:
( quarts of juice ) / ( non-juice + juice ) = 30%
given:
= juice in fruit juice blend
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6 quarts of fruit juice blend must be added
check answer:

OK
Notice that I made the unknown " fruit juice BLEND"
That's the only way the problem makes sense to me.