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
Algebra.Com
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
Answer by ankor@dixie-net.com(22740) (Show Source): 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.
RELATED QUESTIONS
Can you help me understand how to solve this word problem?
An airplane has a total of... (answered by stanbon)
An airplane has a total of 152 seats. The number of coach-class seats is five more than... (answered by mananth)
An airplane has a total of 210 seats. Find the number of each type of seat if the number... (answered by Boreal)
An airplane has a total of 387 seats. The number of coach-class seats is 2 more than 4... (answered by stanbon)
Can someone Please help me solve this problem, Thank You very much!!!
A theater has 41 (answered by ramkikk66)
A train has a total of 152 seats. The number of coach-class seats is 5 more than six... (answered by elima)
Please help me with this question!!!! The number of seats in the first 12 rows of a high... (answered by richwmiller)
I'm very confused on this problem. Will someone please help me and show all work. Thanks
(answered by ikleyn)
Please help me solve this. I have the worst trouble with algebraic... (answered by stanbon,mervh1967)