<PRE><B>Question 101682</B>
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Let the supply and demand functions for sweaters in dollars be:
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supply: p = 9q + 6
demand: p= 76 - 5q
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q = number of items
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a. Find the equilibrium demand.
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Equilibrium demand occurs when supply = demand so we have:
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Supply = demand
9q + 6 = 76 - 5q
Solving for q tells us the number of items 
9q + 5q = 76 - 6
14q = 70
q = 70/14
q = 5 items (sweaters) sold will give equilibrium 
:
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b. Find the equilibrium price.
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Substitute 5 for q in either equation to find the price
p = 9q + 6
p = 9(5) + 6
p = 45 + 6
p = $51 
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Doing the same in the demand equation will confirm our solution:
p = 76 - 5q
p = 76 - 5(5)
p = 76 - 25
p = $51
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Does this make sense to you now? </PRE>