Question 164018: Three kinds of tickets are available for the First day concert:Front, middle, and rear. Front tickets cost $10 more than the middle tickets, while middle ticksts cost $10 more than rear tickets.Twice the cost of a front ticket is $20 more than 3 times the cost of a rear ticket. Find the price of each kind of ticket.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Front tickets cost $10 more than the middle tickets, while middle ticksts cost $10 more than rear tickets.Twice the cost of a front ticket is $20 more than 3 times the cost of a rear ticket. Find the price of each kind of ticket.
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EQUATIONS:
f = m + 10
m = r + 10
2f = 3r + 20
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Rearrange the equations:
f - m + 0 = 10
0 + m - r = 10
2f+ 0 -3r = 20
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Use any method you know to solve the system to get:
f = 40
m = 30
r = 20
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Cheers,
Stan H.
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