Question

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?

Answer 1

Answer:

Sprite: 5/8

Step-by-step explanation:

Let's assume the amount poured out was equal of both liquids:

Convert them into eighths:

Fruit juice: 4/8

Sprite: 4/8

Now to remove 1/4 total we need to remove 1 of each:

Fruit juice: 3/8

Sprite: 3/8

Now add those two we took off to the Sprite:

Fruit juice: 3/8

Sprite: 5/8

Answer 2

$\frac{7}{8}$ of the punch is now Sprite

What is fraction?

• "It is a number is expressed as a quotient, in which the numerator is divided by the denominator."
• "It is used to represent the part of the whole thing. "

For given question,

Abby pours out  $\frac{1}{4}$  of the liquid, and then fills the bowl up again with Sprite.

This means, the fraction of Sprite in the bowl is,

$1-\frac{1}{4} = \frac{3}{4}$             ................(i)

We know that the liquid has  $\frac{1}{2}$ fruit juice and $\frac{1}{2}$ Sprite.

This means, out of $\frac{1}{4}$ of poured liquid $\frac{1}{2}$ is Sprite.

So, the amount of Sprite in the liquid would be,

$\frac{1}{4}\times \frac{1}{2}=\frac{1}{8}$                           ..................(ii)

Now we find the total fraction of Sprite in the punch.

From (i) and (ii),

$\frac{3}{4}+\frac{1}{8}\\\\ =\frac{3\times 2}{4\times 2}+\frac{1}{8}\\\\ =\frac{6}{8}+\frac{1}{8}\\\\ =\frac{7}{8}$

Therefore, $\frac{7}{8}$ of the punch is now Sprite

Learn more about the fraction here:

brainly.com/question/12151403

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