Let x be price of one apple and y be price of one orange.
Upon using our given information we will get a system of equation as:
Since we know that a system of equation will have a unique solution if,
, where and are coefficients of x and y terms of our one equation respectively; and are coefficients of x and y terms of our second equation respectively.
Let us check that our system of equations is solvable or not.
We can see that our system of equation is solvable and will have a unique solution.
We will use substitution method to solve our system of equations.
Upon substituting in 1st equation we will get,
Upon combining like terms we will get,
Multiplying both sides of our equation by -1 we will get,
Therefore, price of one orange is $1.
Now let us substitute y=1 in 1st equation.
Therefore, price of one apple is $1.2.
Apple cost 1.20 and orange 1.00