Question

An airline run 156 domestic

flights and 34 international flights
each day from a particular
airport. A passenger states that
the ratio is 39 to 9. Is the
passenger correct, why or why
not?

Answer 1

The passenger's claim about the ratio of 39 to 9 for domestic to international flights is incorrect. The actual simplified ratio is 78 to 17, derived from dividing the numbers of domestic (156) and international (34) flights by their greatest common divisor.

Step-by-step explanation:

The passenger's statement that the ratio is 39 to 9 is not correct. To find the ratio of domestic to international flights, we need to simplify the ratio of 156 domestic flights to 34 international flights. Dividing both numbers by the greatest common divisor which is 2, we get the simplified ratio of 78 to 17. Therefore, the correct ratio of domestic to international flights is 78 to 17, not 39 to 9.

Answer 2

No

Step-by-step explanation:

For the passenger to be correct, the two ratios should equal each other.

`(156)/(34)` =
`(39)/(9)` Multiply both sides by 34 and 9

`((34)(9))/(1)` x
`(156)/(34)` =
`((34)(9))/(1)` x
`(39)/(9)` On the left side of the equation, the 34's cancel each other out. On the right side of the equation, the 9's cancel out. That leaves us with:

(9)(156) = (340)(39)

1404 = 13260

These numbers do not equal each other so the ratios are not equal.