Question

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?

Answer 1

See a solution process below:

Explanation:

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.