Let x be price of apples per pound and y be price of potatoes per pound.
We can set a system of equations by our given information as:


Now we will use substitution method to solve our system of equations.
From equation 2 we will get,

Upon substituting value of x in equation 1 we will get,





Therefore, price of potatoes will be $0.99 per pound.
Now let us find price of apples by substituting y=0.99 in equation 2.





Therefore, price of apples will be $1.49 per pound.