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

3 Answers
Jun 12, 2017

#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%#

Jun 12, 2017

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%.

Jun 12, 2017

#%"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.