This example invloves finding out the amount of a nutrient.

If a client ate $\frac{3}{4}$ cups of maple syrup.

How many mg of sodium did he consume?

Look at the nutrients label and find the amount for each serving and mg of sodium for each serving.

Each serving is $\frac{1}{4}$ cups and each serving contains 10 mg of sodium.

Place into a ratio

$\frac{1}{4}\mathrm{ cups }:10\mathrm{ mg}$

Find what is given and what we need to find

Given: $\frac{3}{4}$ cups

Find: $x$ mg of sodium

Fill into the proportion to solve

$\frac{1}{4}\mathrm{ cups }:10\mathrm{ mg }::\frac{3}{4}\mathrm{ cups }:x\mathrm{ mg}$

Note: It is important to match the units, if cups is first for the first ratio then cups is first for the second ratio.

Solve the proportion

   $\frac{1}{4}x=10\times \frac{3}{4}$

   $\frac{1}{4}x=\frac{10}{1}\times \frac{3}{4}$

   $\frac{1}{4}x=\frac{10\times 3}{1\times 4}$

   $\frac{1}{4}x=\frac{30}{4}$

$\frac{4}{1}\times \frac{1}{4}x=\frac{4}{1}\times \frac{30}{4}$

   $x=\frac{120}{4}$

   $x=30 \mathrm{mg}$

$\frac{3}{4}$ cups of maple syrup contains $30\mathrm{ mg}$ of sodium.

This example invloves finding out the amount of daily value.

If a client ate $\frac{1}{8}$ cups of maple syrup.

How much $\%$ of his daily value of potassium did he consume?

Look at the nutrients label and find the amount for each serving and $\%$ of daily value of potassium for each serving.

Each serving is $\frac{1}{4}$ cups and each serving contains $4\%$ of potassium.

Place into a ratio

$\frac{1}{4}\mathrm{ cups }:4\%$ of daily value

Find what is given and what we need to find

Given: $\frac{1}{8}$ cups

Find: $x\%$ mg of potassium

Fill into the proportion to solve

dv = daily value

$\frac{1}{4}$ cups : $4\%$ dv : : $\frac{1}{8}$ cups : $x\%$ dv

Note: When calculating with percentage, don't convert the percentage to decimal. For example 4% = 0.04. You can convert it, it won't be wrong, but this will add extra steps.

Solve the proportion

   $\frac{1}{4}x=4\times \frac{1}{8}$

   $\frac{1}{4}x=\frac{4}{1}\times \frac{1}{8}$

   $\frac{1}{4}x=\frac{4\times 1}{1\times 8}$

   $\frac{1}{4}x=\frac{4}{8}$

$\frac{4}{1}\times \frac{1}{4}x=\frac{4}{1}\times \frac{4}{8}$

   $x=\frac{16}{8}$

   $x=2\%$

$\frac{1}{8}$ cups of maple syrup contains $2\%$ daily value of potassium.