SOLUTION: How do i solve the following word problem? Sally and her friends are making lemonade to sell at a carnival. Sally made a strong lemonade with 50% lemon juice. Her friend Janet

Question 751374: How do i solve the following word problem?
Sally and her friends are making lemonade to sell at a carnival. Sally made a strong lemonade with 50% lemon juice. Her friend Janet made hers weaker with only 25% lemon juice. They decided to compromise and make some lemonade that is 35% lemon juice. How much of the 25% lemonade must be used to make 10L at this new percentage.

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = liters of 50% lemonade needed
Let = liters of 25% lemonade needed
= liters of lemon juice in 50% lemonade
= liters of lemon juice in 25% lemonade
---------------------
(1)
(2)
----------------------------
(2)
(2)
(2)
------------------
Subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
--------------
6 liters of 25% lemonade is needed
check:
(2)
(2)
(2)
(2)
OK

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