Question 163019
An airplane has a total of 152 seats the number of coach-class seats 5 more
 than six times the number of first-class seats. 
How many of each type of seats are there on the plane?
;
Let x = no. of coach seats
Let y = no. of 1st class
:
Write an equation for each statement:
;
"an airplane has a total of 152 seats"
x + y = 152
:
"the number of coach-class seats 5 more than six times the number of first-class seats."
x = 5 + 6y
Arrange like the 1st equation
x - 6y = 5
:
using these two equations we have:
x + y = 152
x - 6y = 5
--------------subtraction eliminates x:
0 + 7y = 174
y = {{{147/7}}}
y = 21 ea 1st class seats
:
I'll let you solve for x. and find the coach class seats.
Use the 1st equation to find this, and test your solutions in the 2nd equation.