Question

A food survey showed that 8/13 of the people surveyed preferred pasta to hamburger. If 5460 responded to survey, how many favored hamburgers

Answer 1

2100 people

Explanation:

The people in the survey either chose pasta or hamburger. If the fraction 8/13 people chose pasta, then all of the other people chose hamburger.

The fraction of people who chose hamburger is
`(13-8)/(13) = (5)/(13)`.

Multiply the total number of people who took the survey by the fraction of people who chose hamburger.

`5460*(5)/(13)`

`=(5460*5)/(13)` To multiply with a fraction, combine into the numerator

`=(27300)/(13)` Reduce the fraction. Divide top by bottom number

`=2100` Number of people who chose hamburger

Therefore 2100 people favoured hamburgers.