Mike purchased apples and oranges at a market. He spent a total of $12.00 on 4 pounds of apples and 2 pounds of oranges. If oranges cost twice as much per pound as apples, what is the cost per pound of apples?

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We are given the following statements:

$$ 4A+2O=12 \tag*{\tiny total cost}$$ $$ O=2A \tag*{\tiny cost relationnship} $$

We can use substitution to solve for \(A\).

$$ 4A + 2(2A)=12 $$ $$ 8A=12 $$ $$ A=\boxed{1.50} $$