SOLUTION: A few families took a trip to an amusement park together. Tickets cost $7.50 each for adults and $3.50 each for kids, and the group paid $65.00 in total. There were 6 fewer adults

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A few families took a trip to an amusement park together. Tickets cost $7.50 each for adults and $3.50 each for kids, and the group paid $65.00 in total. There were 6 fewer adults       Log On


   

Question 723018: A few families took a trip to an amusement park together. Tickets cost $7.50 each for adults and $3.50 each for kids, and the group paid $65.00 in total. There were 6 fewer adults than kids in the group.
Find the number of adults and kids on the trip.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x= number of kids
y= number of adults

1.00 x -1.00 y = 6.00 .............1
Total value
3.50 x + 7.50 y = 65.00 .............2
Eliminate y
multiply (1)by 7.50
Multiply (2) by 1.00
7.50 x -7.50 y = 45.00
3.50 x + 7.50 y = 65.00
Add the two equations
11.00 x = 110.00
/ 11.00
x = 10.00
plug value of x in (1)
1.00 x -1.00 y = 6.00
10.00 -1.00 y = 6.00
-1.00 y = 6.00 -10
-1.00 y = -4.00
y = 4.00
x= 10.00 number of kids
y= 4.00 number of adults
m.ananth@hotmail.ca