Carl bought 19 apples of 2 different varieties to make a pie. the total cost of the apple was $5.10.granny smith apples cost $0.25 each and gala apples cost $0.30 each. how many of each type of apple did carl buy?

For this case we propose a system of equations:

x: Let the variable representing the quantity of Granny Smith apples

y: Let the variable representing the number of Gala apples

According to the statement we have:

From the first equation we have to:

replacing in the second equation:

So, Carl bought 7 Gala apples

On the other hand:

So, Carl bought 12 Granny Smith apples

Carl bought 7 Gala apples and 12 Granny Smith apples