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?
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