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anonymous
 5 years ago
Tim and Judy mix two kinds of feed for pedigreed dogs. they wish to make 28 pounds of feed worth $0.19 per pound by mixing one kind worth $0.13 per pound with another worth $0.29 per pound. How many pounds of the cheaper kind should they use in the mix?
anonymous
 5 years ago
Tim and Judy mix two kinds of feed for pedigreed dogs. they wish to make 28 pounds of feed worth $0.19 per pound by mixing one kind worth $0.13 per pound with another worth $0.29 per pound. How many pounds of the cheaper kind should they use in the mix?

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sandra
 5 years ago
Best ResponseYou've already chosen the best response.0ok, so from the problem we know after mixing we want the average pound to be worth .19, and that the total number of pounds should be 28

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0so we have two unknowns, and hence we need two equations to solve this

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0so the first one is that (.13*x + .29*y)/28 = .19

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0that is the direct translation of "the average pound costs .19 after adding both components together")

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0now the second equation we know, is that when we add the two amounts together, there are a total of 28 pounds

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0so now you have to use substitution to get either x or y

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0so let's take the second equation's value of "y", which is the more expensive amount, and substitute it back into the first equation

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0so if we put that back into the first equation, in place of y ("substituing"), we get: .13x + .29(28 x) = .19

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0can you solve for x from there?

sandra
 5 years ago
Best ResponseYou've already chosen the best response.0whoops sorry, above line should ready (.13x + .29(28x))/28 = .19
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