Solving Systems by Elimination with Multiplication

Question

A farm stand sells apple pies and jars of applesauce. 9 Granny Smith apples and 7 Golden Delicious apples are needed for a pie, and 4 Granny Smith and 2 Golden Delicious apples are needed for a jar of applesauce. Yesterday, the farm picked 260 Granny Smith apples and 190 Golden Delicious apples. How many pies and jars of applesauce can the farm make if every apple is used?

Answer 1

20 pies & 20 jars of apple sauce, exactly, if 190 is a typo and should have been 180. But still 20 & 20, even with 190.

260/(9+4) = 260/13 = 20 pies

180/(2+7)= 180/9 = 20 jars

but 190/(2+9) = 21 jars + one delicious apple unused, but without more Granny Smith apples, you can't get that 21st jar, so you have 10 delicious apples left over.