Question 185849
A total of twelve thousand passengers normally ride the green line of the MBTA during te morning rush hour. 
a + s + c = 12000
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The token prices for a ride are .25 for childern under 12, $1 for adults and .50 for senior citizens. The revenue from these riders is $10,700. 
100a + 50s + 35c = 1070000 cents
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If the token prices were raised to .35 for childern under 12 and $1.50 for adults, and the senior ctizens price was unchanged, the expected revenue from these riders would be $15,820. 
150a + 50s + 35c = 1582000 cents
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System to solve:
   a +   s +   c = 12000
100a + 50s + 35c = 1070000 
150a + 50s + 35c = 1582000 
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Use what you know about matrices to solve for a,s, and c.
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How many riders in each category normally ride the green line during the morning rush hour? 
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Cheers,
Stan H.