SOLUTION: One hundred tickets were sold to a baseball games, some at $3, $4, and $5. The total receipts from the sale of the tickets was $380. How many $5 tickets were sold if twice as man

Question 694293: One hundred tickets were sold to a baseball games, some at $3, $4, and $5. The total receipts from the sale of the tickets was $380. How many $5 tickets were sold if twice as many $3 tickets were sold as $5 tickets?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
One hundred tickets were sold to a baseball games, some at $3, $4, and $5.
The total receipts from the sale of the tickets was $380.
How many $5 tickets were sold if twice as many $3 tickets were sold as $5 tickets?
;
a = no. of $3 tickets
b = no. of $4
c = no. of $5
:
Write an equation for each statement:
:
"One hundred tickets were sold to a baseball games,"
a + b + c = 100
:
"The total receipts from the sale of the tickets was $380."
3a + 4b + 5c = 380
:
"twice as many $3 tickets were sold as $5 tickets?"
a = 2c
:
Replace a with 2c in the first and second equations.
2c + b + c = 100
b + 3c = 100
and
3(2c) + 4b + 5c = 380
4b + 11c = 380
:
Multiply eq: b + 3c = 100, by 4, subtract the above equation
4b + 12c = 400
4b + 11c = 380
---------------subtracting eliminates b, find c
c = 20 each $5 tickets were sold
:
:
You can find a and b, then confirm the solution in both equations
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