Riko and Kate each baked some cookies. To begin with, the ratio of Riko’s cookies to Kate’s cookies was 2 : 3. After Kate gave ½ of her cookies to Riko, Riko had 21. How many cookies did Riko have at first? Please help!!

Give all possible names for the line shown. calculation tip: lines can be written with either point first.

Abby is preparing fruit punch for her party. she starts with a bowl filled with liquid that has 1/2 fruit juice and 1/2 sprite, but she decides it's too fruity. so she pours out 1/4 of the liquid, and then fills the bowl up again with sprite. what fraction of the punch is now sprite?

On saturday a souvenir shop had 125 customers. sixty four percent of the costumers paid with a credit card. how many costumers paid with cash?