Question

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

Answer 1

`20%`

Explanation:

The total amount of the mixture is `25kg`.
If we know that `5kg` is sugar of the total amount, we can simply divided `5/25`. Which gives us `.20` which equal to `20%`

Answer 2

See a solution process below:

Explanation:

If we add the two amounts together we get:

`20 kg + 5kg = 25kg` of the mixture.

The sugar would be:

`5kg` of the `25kg` or `5/25` of the mixture.

"Percent" or "%" means "out of 100" or "per 100", Therefore x% can be written as `x/100`.

So we can write and solve the equation:

`x/100 = 5/25`

`color(red)(100) xx x/100 = color(red)(100) xx 5/25`

`cancel(color(red)(100)) xx x/color(red)(cancel(color(black)(100))) = 500/25`

`x = 20`

The sugar is `20/100` of the mixture or 20%.

Answer 3

`%"sugar"=20%` `"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.