linear systems word problem > Steve is make a lemonade, he needs to make 56 cups of lemonade. The recipe requires 2 cups of lemon juice for every 5 cups of water added. How many cups of lemon juices are required? I did: Le5 x be number of cups of lemon juice, y be the number of cups of water $$2x+5y=56$$ But this isn't correct. What would be the correct equation?? And also I am pretty sure I meed 2 equations.

Let´s assume that the sizes of the cups are all equal. And one cup lemonade requires two parts lemon juice and 5 parts water. In one cup lemonade there are 7 parts. Two of the 7 parts are lemon juice. Therefore in one cup lemonade there are $\frac27 $ cups lemon juice.

Thus you need $\frac27 \cdot 56=16$ cups lemon juice to get 56 cups lemonade.