SOLUTION: please help!! this is an elimination method word problem. thks in advance.
an airplane has a total of 152 seats the number of coach-class seats 5 more than six times the number of
Question 163019This question is from textbook intermediate algebra
: please help!! this is an elimination method word problem. thks in advance.
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? This question is from textbook intermediate algebra
You can put this solution on YOUR website! 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 =
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.
