3x+ 1=z
5y+2=z
Simplified to 3x=5y+ 1.
Because x and y represent degrees, they are integers.
So x=7, y=4 and z=22.
Or x= 12, y=7 and z=37.
Or x= 17, y= 10 and z=52.
Because grandma sent a basket full of eggs.
So x= 17, y= 10 and z=52.
There are 52 eggs.