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?
Since we are to end with a fraction (or percentage), we may start with as many ounces as we wish.
Let's assume that there are 100 ounces in the punch bowl. Since one-half of it is fruit juice and
one-half of it is Sprite:
Sprite = 50 ounces. Fruit juice = 50 ounces.
One-fourth is poured out; this means that 25 ounces have been poured out; one-half of that is
Sprite and one-half is fruit juice. So, both Sprite and fruit juices lose 12.5 ounces.
Sprite = 37.5 ounces. Fruit juice = 37.5 ounces.
Now, 25 ounces of Sprite are added.
Sprite = 62.5 ounces. Fruit juice = 37.5 ounces. Total = 100 ounces.
What fraction is Sprite? 62.5 ounces / 100 ounces = 62.5% or 5/8ths.