Question

There are 3 grams of sodium in 1⁄2 of a liter of soda. How much sodium is in 2⁄3 of a liter of soda?

Answer 1

3g : 1/2 L
x : 2/3 L


x = 3 * 2/3 / 1/2
x = 4

4 grams

Answer 2

4 grams sodium is in 2⁄3 of a liter of soda.

Explanation:

Proportion states that two ratios or fractions are equal.

As per the statement:

There are 3 grams of sodium in 1⁄2 of a liter of soda.

We have to find how much sodium is in 2⁄3 of a liter of soda.

Let x g be the sodium is in 2⁄3 of a liter of soda.

then by definition we have;

`(3)/((1)/(2))= (x)/((2)/(3))`

⇒
`6 = (3)/(2)x`

Multiply both sides by 2 we have;

⇒12 = 3x

Divide both sides by 3 we have;

4 = x

or

x = 4 gm

Therefore, 4 grams sodium is in 2⁄3 of a liter of soda.