SOLUTION: [ You have been asked to make lemonade for this years back to school night. In order to make the lemonade taste irresistible, you will make 10 cup batches that consist of 50% water

Question 822556: [ You have been asked to make lemonade for this years back to school night. In order to make the lemonade taste irresistible, you will make 10 cup batches that consist of 50% water, 25% lemonade, 10% lemon juice, and 15% sugar.
You are supplied with: 80 cups of water, 44 cups of lemonade mix, 36 cups of lemon juice, and 40 cups of sugar.
Use the percentages needed for the lemonade batch to discover the maximum number of batches you can make with the given ingredients. Remember that each batch makes 10 cups. ]
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
---
x = water
y = mix
z = lemon
w = sugar
---
50x + 25y + 10z + 15w = 100*n
x = 80
y = 44
z = 36
w = 40
---
50*80 + 25*44 + 10*36 + 15*40 = 100*n
---
n = (50*80 + 25*44 + 10*36 + 15*40)/100
---
n = 60.6
---
answer:
you can make 60 batches of 10 cups per batch
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