SOLUTION: Parents sold 275 tickets for a fundraiser at the community center. The student tickets costs $3 and adults tickets cost $5. The total value of tickets sold is $1,025 I need to find

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Parents sold 275 tickets for a fundraiser at the community center. The student tickets costs $3 and adults tickets cost $5. The total value of tickets sold is $1,025 I need to find      Log On


   

Question 1089421: Parents sold 275 tickets for a fundraiser at the community center. The student tickets costs $3 and adults tickets cost $5. The total value of tickets sold is $1,025 I need to find the best system of equation to represent this problem and I got 3x + y = 275
x + 5y = 1,025 is this right It does not seem right to me
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!

student tickets x and adults tickets y
sold 275 =>
x%2By=275.....eq.1
if the student tickets costs $3 and adults tickets cost $5, and The total value of tickets sold is $1025, than we have
3x%2B5y=1025.....eq.2
the system of equation to represent this problem is:

x%2By=275.....eq.1
3x%2B5y=1025.....eq.2
--------------------------
use substitution
x%2By=275.....eq.1...solve for x
x=275-y
go to
3x%2B5y=1025.....eq.2, substitute x and solve for y
3%28275-y%29%2B5y=1025
825-3y%2B5y=1025
2y=1025-825
2y=200
highlight%28y=100%29
go to
x=275-y substitute y and solve for x
x=275-100
highlight%28x=175%29
so,from 275 tickets sold, highlight%28100%29tickets were sold to adults and highlight%28175%29 tickets were sold to students