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?

dolphinia Mar 2, 2022

#1**+3 **

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 5/8^{ths}.

geno3141 Mar 2, 2022

#3**+2 **

After pouring off 1/4 of the fluid there is 3/4 left <=== half of this is Sprite or 3/8 ths

then she adds the 1/4 1/4 + 3/8 = 5/8ths is now soda

ElectricPavlov Mar 3, 2022