SOLUTION: Help me solve. Tickets cost 6.25 and 9.75. 544 tickets sold for 4,107. How many of each sold? Is the equation (6.25*x)+(9.75*y)=4107. ? Thanks

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Help me solve. Tickets cost 6.25 and 9.75. 544 tickets sold for 4,107. How many of each sold? Is the equation (6.25*x)+(9.75*y)=4107. ? Thanks       Log On


   

Question 444111: Help me solve. Tickets cost 6.25 and 9.75. 544 tickets sold for 4,107. How many of each sold? Is the equation (6.25*x)+(9.75*y)=4107. ? Thanks
Answer by mananth(16949) About Me  (Show Source):
You can put this solution on YOUR website!
(6.25*x)+(9.75*y)=4107
x+y=544
1 x + 1 y = 544 .............1
6.25 x + 9.75 y = 4107 .............2
Eliminate y
multiply (1)by -9.75
Multiply (2) by 1
-9.75x-9.75y=-5304
6.25x+9.75y=4107
Add the two equations
-3.5 x = -1197
/-3.5
x = 342.00
plug value of x in (1)
x+y=544
342+y=544
y =544-342
y=202