Taking into account the definition of ratio and proportion, the airline should sell 440 tickets.
The ratio is the comparison of two quantities and is measured from the division of two values.
The relationship of equality that exists between two ratios, that is, between two comparisons between two determined quantities, is known as a proportion. So if [tex]\frac{a}{b}[/tex] corresponds to the ratio, then [tex]\frac{a}{b}[/tex] = [tex]\frac{c}{d}[/tex] equals a proportion.
An airplane flight has 374 seats. The probability that a person who buys a ticket actually goes on that flight is about 85%. The airline wants to fill all the seats (100%) on the flight.
This can be represented by the proportion:
[tex]\frac{374}{85}[/tex] = [tex]\frac{amount of tickets}{100}[/tex]
Solving:
amount of tickets= 100×[tex]\frac{374}{85}[/tex]
amount of tickets= 440
Finally, the airline should sell 440 tickets.
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