Question

Pam is an airline attendant. Last week, she worked on flights on 3 small jets and 4 large jets, which could seat a total of 484 passengers. The week before, she was assigned to flights on 3 small jets and 2 large jets, which could seat a total of 302 passengers. How many seats were on each type of flight? ​

Answer 1

There were 40 seats on each small jet and 91 seats on each large jet.

Step-by-step explanation:

To solve this problem, we can set up a system of equations using the given information. Let's define the number of seats on a small jet as 'S' and the number of seats on a large jet as 'L'.

From the information given, we know that:

3S + 4L = 484 (equation 1)

3S + 2L = 302 (equation 2)

To solve for S and L, we can subtract equation 2 from equation 1 to eliminate S:

3S + 4L - (3S + 2L) = 484 - 302

2L = 182

L = 91

Substituting the value of L into equation 1, we can solve for S:

3S + 4(91) = 484

3S + 364 = 484

3S = 120

S = 40

Therefore, there were 40 seats on each small jet and 91 seats on each large jet.