SOLUTION: Two friends have built a lemonade stand, and they plan to start out by selling 20 liters of lemonade containing 23% lemon juice. To make this, they will mix some homemade lemonade
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Question 1111571: Two friends have built a lemonade stand, and they plan to start out by selling 20 liters of lemonade containing 23% lemon juice. To make this, they will mix some homemade lemonade containing 27% lemon juice with some store-bought lemonade that contains 22% lemon juice. How much of each type should the friends use? Answer by amalm06(224) (Show Source):
You can put this solution on YOUR website! The problem can be solved in two different ways. Consider first the following system of equations:
x+y=20
0.27x+0.22y=(0.23)(20)
Solving the above equations for x and y will give you the relevant quantities.
The other method is that of alligation.
Let S1 denote the 22% solution and S2 denote the 27% solution.
Then 23-22=1 and 27-23=4. So that S1:S2=4/1. This mean means that we have 4 parts of S1 for every 5 parts of mixture. We can find S1 and S2 as follows:
