A fast food restaurant sold 24 burgers with cheese. If the ratio of burgers sold with cheese compared to without cheese was 3:2, how many burgers did they sell total?

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Answer 1 · 2018-06-29T19:38:45

See a solution process below:

We can write an relationship for this as:

#3:2 -> 24:b#

Where #b# is the number of burgers sold without cheese.

We can rewrite the relationship as an equation and solve for #b#:

#3/2 = 24/b#

#2/3 = b/24#

#color(red)(24) xx 2/3 = color(red)(24) xx b/24#

#48/3 = cancel(color(red)(24)) xx b/color(red)(cancel(color(black)(24)))#

#16 = b#

#b = 16#

The restaurant would of sold #color(red)(16)# burgers without cheese with the information provided in the problem.