Problema Solution

The first aircraft has 59 more seats that the second aircraft. The third aircraft has 49 fewer seats than the second aircraft. If their total number of seats is 427, find the number of seats for each aircraft?

Answer provided by our tutors

let


x = the number of seats in the first aircraft

y = the number of seats in the second aircraft

z = the number of seats in the third aircraft


the first aircraft has 59 more seats that the second aircraft


x = 59 + y


the third aircraft has 49 fewer seats than the second aircraft


z = y - 49


total number of seats is 427


x + y + z = 427


by solving the system of equations


x = 59 + y

z = y - 49

x + y + z = 427


we find


x = 198 seats


y = 139 seats


z = 90 seats


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the first aircraft has 198 seats.

the second aircraft has 139 seats.

the third aircraft has 90 seats.