SOLUTION: Tickets for a raffle cost either £2 or £4. A man buys 10 tickets costing a total of £36. How many of each kind does he buy? (hint: let there be x tickets at £2 and y tickets at £

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Tickets for a raffle cost either £2 or £4. A man buys 10 tickets costing a total of £36. How many of each kind does he buy? (hint: let there be x tickets at £2 and y tickets at £      Log On


   

Question 700503: Tickets for a raffle cost either £2 or £4. A man buys 10 tickets costing a total of £36.
How many of each kind does he buy?
(hint: let there be x tickets at £2 and y tickets at £4)
Answer by CRandunu(8) About Me  (Show Source):
You can put this solution on YOUR website!
let there be x tickets at £2 and y tickets at £4
given total tickets = x+y= 10 -----------(1)
total cost = cost of £2 tickets + cost of £4 tickets= 2x+4y =36----(2)
so we have
x+y= 10 -----------(1)
2x+4y =36----(2)
(2)- 2*(1) gives 2y=16 , y=8
from (1) gives x=2
he buys two £2 tickets and 8 £4 tickets