Question

A first-class plane ticket from Austin to San Francisco costs $880 round trip. A main-cabin ticket on the same flightcost 65% less than the first-class ticket. Complete the following statements. Show work to support your answers.a. The cost of the main-cabin ticket is ___% of the cost of the first-class ticket.b. The price of the main-cabin ticket is $ ___C. The first-class ticket coststimes the cost of the main-cabin ticket. (Round to the nearest hundredth.)d. The first-class ticket costs% more than the main-cabin ticket. (Round to the nearest percent)

Answer 1

This problem gives us several important pieces of information to keep in mind

1) A first-class plane ticket cost $880

2) A main-class plane ticket cost 65% less than the first-class ticket

Now let's solve each item

a)

`100-65=35`

The cost of the main-cabin ticket is 35% of the cost of the first-class ticket

b)

`880\cdot(35)/(100)=308\text{ }`

The price of the main-cabin ticket is $ 308

c)

`(880)/(308)=(20)/(7)\cong2.86\cong2.9`

The first-class ticket costs 2.9 times the cost of the main-cabin ticket

d)

`880\cdot(100)/(308)=285`
`285-100=185`

The first-class ticket costs 185% more than the main-cabin ticket.

C Explanation

We are asked to find how many times the first-class ticket costs compared to the main-class ticket, i.e. how many main-cabin tickets does the first-class ticket cost

So the first-class cost is to divide into the main-cabin cost, to find out how many times (how many main-cabin tickets) the first-class costs in comparison to the main-cabin

D Explanation

We already know the main-cabin and first-class ticket prices, the question refers to how much more a first-class ticket costs than a main-cabin ticket expressed as a percentage

For this, we take $308 as 100 percent so we want to know what percentage $880 corresponds to if we multiply by 100 and divide by 308, we find that the first-class ticket costs 285%, but let's remember that the question refers to how much more a first-class ticket costs than a main-cabin ticket

The first-class ticket costs 285% but if we subtract 100% from the main-cabin ticket this is the true percentage of how much more it costs

In conclusion, 285-100= 185%