SOLUTION: Can you help me solve this problem? 2000 tickets were sold for a ball. Members tickets were sold for $10 and non-member tickets were sold for $20. A total of $35,000 was collected.

Question 1003004: Can you help me solve this problem? 2000 tickets were sold for a ball. Members tickets were sold for $10 and non-member tickets were sold for $20. A total of $35,000 was collected. How many of each type of ticket was sold?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
let m = no. of member tickets sold
let n = no. of non-member
:
Write an equation for each statement
:
2000 tickets were sold for a ball.
m + n = 2000
m = (2000-n); we can use this form for substitution
:
Members tickets were sold for $10 and non-member tickets were sold for $20. A total of $35,000 was collected.
10m + 20n = 35000
Replace m with (2000-n)
10(2000-n) + 20n = 35000
20000 - 10n + 20n = 35000
10n = 35000 - 20000
10n = 15000
n = 15000/10
n = 1500 non-members
:
Find the no. of members
m = 2000 - 1500
m = 500 members
:
:
Check the solution in the equation: 10m + 20n = 35000
10(500) + 20(1500) =
5000 + 30000 = 35000

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