Molly's family has $3,000 set aside for an upcoming vacation. The family plans to spend

3/5
of this amount on gasoline for the drive and motel rooms along the way and
1/2
of the remainder on meals. How much does Molly's family plan to spend on meals?

The family plans to spend 3/5 x $3,000 = $<<3/5*3000=1800>>1800 on gasoline and motel rooms.

So, the total money left is $3,000 - $1,800 = $<<3000-1800=1200>>1200.
Then, the family plans to spend 1/2 x $1,200 = $<<1/2*1200=600>>600 on meals. Answer: \boxed{600}.