Question

Dean is an airline attendant. Last week, he worked on flights on 3 small jets and 2 large jets, which could seat a total of 292 passengers. The week before, he was assigned to flights on 1 small jet and 1 large jet, which could seat a total of 126 passengers. How many seats were on each type of flight?

Answer 1

To find the number of seats on each type of flight, we can set up a system of equations and solve for the values of S and L. By substituting the value of L back into the second equation, we can find the value of S. Thus, there were 40 seats on the small jet and 86 seats on the large jet.

Step-by-step explanation:

To find the number of seats on each type of flight, we can set up a system of equations. Let's represent the number of seats on a small jet as 'S' and the number of seats on a large jet as 'L'.

From the information provided, we can write the following equations:

3S + 2L = 292

S + L = 126

Now we can solve these equations:

Using the second equation, we can express S in terms of L: S = 126 - L

Substituting this expression for S into the first equation, we get 3(126 - L) + 2L = 292

Simplifying the equation gives us 378 - 3L + 2L = 292

Combining like terms, we have -L = -86

Dividing both sides by -1, we get L = 86

Substituting the value of L back into the second equation, we can find S: S + 86 = 126

Subtracting 86 from both sides, we get S = 40

Therefore, there were 40 seats on the small jet and 86 seats on the large jet.