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good mixture problem

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good mixture problem

by Ozlemg » Thu Jun 02, 2011 8:32 am
A shade of paint is made by evenly mixing m gallons of white paint, costing $12 a gallon, with n gallons of blue paint, costing $30. What is the cost, in dollars per gallon, of the resulting mixture?

12m +30n
42(12m +30n)
(12m +30n) / 42
(12m +30n) / (M+ N)
42(M+ N) / (12m +30n)

please explain your logic.
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by Frankenstein » Thu Jun 02, 2011 8:37 am
Hi,
m gallons of white paint costs 12m $
n gallons of blue paint costs 30n $
Total cost is (12m+30n)$
Total volume of mixture is (m+n)gallons
So, cost per gallon = (12m+30n)/(m+n)

Hence, D
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by cans » Thu Jun 02, 2011 8:53 am
cost of m gallons of white paint = 12m
cose of n gallons of blue paint = 30n
total cose = 12m + 30n
Also if we add both, we will get m+n gallons of mixture (m gallons of white + n gallons of blue)
thus cost of m+n gallons = 12m + 30n
=> cost per gallon = (12m + 30n)/(m+n)
IMO D
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