<PRE><B>Question 1033682</B>
Write a system of equations to model each situation. Then use your system to solve. 
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1) A writing workshop enrolls novelists and poets in a ration of 5 to 3. There are 24 people at the workshop. How many novelists are there? How many poets?
# of novelists = 5x
# of poets = 3x
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Equation:
5x + 3x = 24
8x = 24
x = 3
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# of novelists = 5x = 5*3 = 15
# of poets = 3x = 3*3 = 9
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2) You have 15 coins in your pocket that are either quarters or nickels. They total $2.75. How many of each coin do you have?
Quantity Eq:: n + q = 15 coins
Value Eq::   5n+25q = 275 cents
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n + q = 15
n + 5q = 55
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Subtract and solve for &quot;q&quot;::
4q = 40
q = 10 (# of quarters)
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n = 15-10 = 5 (# of nickels)
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Cheers,
Stan H.
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