SOLUTION: Airline fare for a flight from elmwood to Palmdale are $85 for first class and $60 for coach class.on Friday,79 passengers paid a total of 5290 to fly from elmwood to Palmdale .How

Algebra.Com
Question 630974: Airline fare for a flight from elmwood to Palmdale are $85 for first class and $60 for coach class.on Friday,79 passengers paid a total of 5290 to fly from elmwood to Palmdale .How many of each type of ticket were sold?

Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
x First Class
y Coach class
Total passengers
1 x + 1 y = 79 .............1
Total fare for all passengers
85 x + 60 y = 5290.00 .............2
Eliminate y
multiply (1)by -60
Multiply (2) by 1
-60 x -60 y = -4740
85 x + 60 y = 5290
Add the two equations
25 x = 550
/ 25
x = 22
plug value of x in (1)
1 x + 1 y = 79
22 + y = 79
y = 79 -22
y = 57

22 First Class passengers
57 Coach class passengers
m.ananth@hotmail.ca

RELATED QUESTIONS

Airline fares for a flight from Elmwood to Palmdale are $85 for first class. On Friday,... (answered by stanbon)
Prof. Hardtack gave four Friday quizzes last semester in his 10-student senior tax... (answered by anand1377)
Sarah took the advertising department from her company on a round trip to meet with a... (answered by mananth,greenestamps)
Sarah took the advertising department from her company on a round trip to meet with a... (answered by stanbon,josmiceli)
A stuent received scores of 51, 79, and 57 on their first three tests for a class. There... (answered by ankor@dixie-net.com)
An airplane has a total of 152 seats. The number of coach-class seats is five more than... (answered by mananth)
The final grades in Math class of 80 students at State University are recorded in the... (answered by Alan3354)
The scores on the first examination for an algebra class are given below: 93, 79, 84,... (answered by ewatrrr)
For a charter flight, an airline charges a fare of $180 per person plus $10 per person... (answered by lwsshak3)