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Winnie likes her lemonade to have a water:lemon juice ratio of 7:2. Lizzie prefers a water: lemon juice ratio of 6:1. How much water would Lizzie have to add to 450 gallons of Winnie's lemonade in order for it to be to her liking?

 Mar 30, 2020
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Winnie's lemonade:  450 gallons of a 7 water : 2 lemon juice ratio

Add the 7 parts of water to the 2 parts of lemon juice to get a total of 9 parts.

Therefore the 450 gallons have (2/9)·450 gallons  =  100 gallons of lemon juice

                                            and (7/9)·450 gallons  =  350 gallons of water.

 

Lizzie needs to have 600 gallons of water for every 100 gallons of lemon juice.

There are already 350 gallons of water; she will need to add another  600 - 350  =  250 gallons of water.

 Mar 30, 2020

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