SOLUTION: suppose you sell a total of 292 tickets for a football game. an adult ticket cost $3.00 and a student ticket cost $1.00. The sponsors collect $470 in ticket sales. Write and solve

Question 784830: suppose you sell a total of 292 tickets for a football game. an adult ticket cost $3.00 and a student ticket cost $1.00. The sponsors collect $470 in ticket sales. Write and solve a system to find the # of each ticket. I got this so far:
3a + 1s =470
help
Found 2 solutions by stanbon, xinxin:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
suppose you sell a total of 292 tickets for a football game. an adult ticket cost $3.00 and a student ticket cost $1.00. The sponsors collect $470 in ticket sales. Write and solve a system to find the # of each ticket.
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Quantity Equation: a + s = 292 tickets
Value Equation::: 1*a+3s = 470
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Substract and solve for "s":
2s = 178
s = 89 (# of student tickets sold)
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Solve for "a":
a + s = 292
a + 89 = 292
s = 203 (# of adult tickets sold)
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Cheers,
Stan H.
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Answer by xinxin(76) (Show Source): You can put this solution on YOUR website!
3a + 1s = 470 (1)
a + s = 292 (2)
You can arrange either (1) or (2) to get an equation with only one variable. For example, (2) can be rearranged as a = 292 - s (3). Next we need to combine (1) and (3) to get s: 3 * (292 - s) + s = 470, s = 203. So a is 89.

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