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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 \(8:1\). 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 14, 2022
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w / l = 7/2        l = 2/7 w

 

also l+ w = 450       so     2/7 w + w = 450       shows w = 350      l = 100 gallons

now add water     

 

(350 + x )   /  ( 100 )   =  8/1

350 + x = 800 

x = 450   gallons of water to add     

 Mar 14, 2022

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