Please Help, I have a ratio problem I can't solve

Question

An Arnold Palmer is a half lemonade, half iced tea mix. Maggie is trying to make herself an Arnold Palmer, but she likes hers to be 2/3 lemonade and 1/3 iced tea. She currently has a 22 oz of 50-50 mixed Arnold Palmer. How much lemonade does she need to get her 2/3 lemonade desired mix if she wants to have a 36 oz Arnold Palmer at the end?

Answer 1

 

OK, well, if she has 22 oz of a 50/50 mixture, then she has, in that mixture, 11 oz of tea.  If she only adds lemonade, at 100%, then she'd have to add 14 ox of lemonade to get the total of 36 oz, but, 11oz tea in 36 total oz is 30.6% tea, which is then 69.4% lemonade.  2/3 is 66.6%, so, she'd have to add a little tea to the mix... and use a bit less lemonade.

 

22(1/2) + 12(1) + 2(1/2) = 36 (2/3)

 

11 + 12 + 1 = 24

 

So, she'd have to add 12 oz of lemonade and 1 oz of tea to her original 22 oz drink.