Geppetto is a puppet maker. On the seventh day of the month, Geppetto had 46 puppets ready to sell. On the twelfth day, he had 76 puppets.

What is his rate? puppets per day  

How many did Geppetto have left over from last month (how many did start this month with)? puppets  

Write an equation to model this situation (use d\displaystyle {d} for days and p\displaystyle {p} for puppets).