Question

ben fills a glass with orange jiuce and lemonade in the ratio of 1:4 by volume . he mixes the liquid in the glass . Ben then drinks 1/4 of this liquid

Answer 1

O = Orange, L = Lemonade
1/4 O + 3/4 L = x
Drink 1/4 of x, ratio of O and L doesn't change
1/4 O + 3/4 L = 3x/4
Fill up by adding 1/4 O
So it becomes 1/4 O + 1/4 O + 3/4 L = x
1/2 O + 3/4 L = x
Ratio of O to L = 1/2 divided by 3/4
= 1/2 * 4/3
Ratio of orange to Lemonade is 2:3