A baker buys 19 apples of two different varieties to make pies. the total cost of the apples is $5.10. granny smith apples cost $0.25 each and Gala apples cost $0.30. How many of each type of apple did the Baker buy?

So let x represent Gala Apples, and let y Represent Granny Smiths

x + y = 19

0.30x + 0.25y = 5.10

y=19-x

0.30x+0.25 (19-x) = 5.10

0.30x+4.75-0.25x=5.10

0.30x-0.25x=5.10-4.75

0.05x/0.05=0.35/0.05

x=7

x+y = 19

(7) + y = 19

y=19-7

y=12

Therefore baker bought 7 gala apples, and 12 granny smiths!