Question

Debbie is an airline attendant. Last week, she worked on flights on 5 small jets and 1 large jet, which could seat a total of 404 passengers. The week before, she was assigned to flights on 5 small jets and 5 large jets, which could seat a total of 800 passengers. How many seats were on each type of flight?

Answer 1

the flight on the small jet each had 61 seats and the flights on large jets each had 99 seats

Step-by-step explanation:

We need to write the statements using mathematical terms

last week:

5 small jets and 1 large jet, which could seat a total of 404 passengers

let the number of seats on the small jets = s

let the number of seats on the large jet = l

5s + 1l = 404

5s + l = 404 ...(1)

The week befor:

5 small jets and 5 large jets, which could seat a total of 800 passengers

5s + 5l = 800 ...(2)

combining both equations:

5s + l = 404 ...(1)

5s + 5l = 800 ...(2)

using elimination method:

To eliminate a variable, it must have the same coefficient in both equations

Let's eliminate s since it has a coefficient of 5 in both equations

subtract equation 1 from 2:

5s - 5s + 5l - l = 800 - 404

0 + 4l = 396

4l = 396

divide both sides by 4:

4l/4 = 396/4

l = 99

substitute for l in any of the equation:

using equation 1:

5s + l = 404

5s + 99 = 404

5s = 404 - 99

5s = 305

divide both sides by 5:

5s/5 = 305/5

s = 61

Hence. the flight on the small jet each had 61 seats and the flights on large jets each had 99 seats