# One half liter of lemonade concentrate is added to 3 liters of water. How many 1/3-liter servings of lemonade are made?

Jul 9, 2018

$10$ servings with $\frac{1}{6}$ liter remaining.

#### Explanation:

Lemonade concentrate + water $= \frac{1}{2} + 3 = 3 \left(\frac{1}{2}\right)$ $l$

(1/3) l for one serving of lemonade.

3(1/2) l for  (3(1/2)) / (1/3) = (7 * 3 ) / 2 = 10.5 servings

Jul 9, 2018

I'd say $10.5$ servings.

#### Explanation:

If we all the total volume of lemonade concentrate and water together, we get $0.5 + 3 = 3.5 \setminus \text{L}$ together. That is assuming that the lemonade concentrate to water ratio is $1 : 6$ to make lemonade.

So, we can make:

(3.5color(red)cancelcolor(black)"L")/(1/3color(red)cancelcolor(black)"L""/serving")=10.5 \ "servings"#