# A recipe calls for 5 kilograms of sugar and 20 kilograms of butter. What percent of the recipe is the sugar?

Jun 12, 2017

20%

#### Explanation:

The total amount of the mixture is $25 k g$.
If we know that $5 k g$ is sugar of the total amount, we can simply divided $\frac{5}{25}$. Which gives us $.20$ which equal to 20%

Jun 12, 2017

See a solution process below:

#### Explanation:

If we add the two amounts together we get:

$20 k g + 5 k g = 25 k g$ of the mixture.

The sugar would be:

$5 k g$ of the $25 k g$ or $\frac{5}{25}$ of the mixture.

"Percent" or "%" means "out of 100" or "per 100", Therefore x% can be written as $\frac{x}{100}$.

So we can write and solve the equation:

$\frac{x}{100} = \frac{5}{25}$

$\textcolor{red}{100} \times \frac{x}{100} = \textcolor{red}{100} \times \frac{5}{25}$

$\cancel{\textcolor{red}{100}} \times \frac{x}{\textcolor{red}{\cancel{\textcolor{b l a c k}{100}}}} = \frac{500}{25}$

$x = 20$

The sugar is $\frac{20}{100}$ of the mixture or 20%.

Jun 12, 2017

%"sugar"=20% $\text{by mass}$

#### Explanation:

%"sugar" $=$ "Mass of sugar"/"Mass of sugar AND mass of butter"xx100%

=(5*kg*"sugar")/(5*kg*"sugar"+20*kg*"butter")xx100%

=20% by mass...........

I don't know what you are making here. Most cake mixes mix equal quantities of fat and sugar.