Molly's family has $3,000 set aside for an upcoming vacation. The family plans to spend 3 over 5 of this amount on gasoline for the drive and motel rooms along the way and 1 over 2 of the remainder on meals. How much does Molly's family plan to spend on meals?

Answer 1

First, let's determine how much of the $3,000 will be spent on gasoline and motel rooms.

The family plans to spend \( \frac{3}{5} \) of $3,000 on gasoline and motel rooms. We calculate this as follows:

\[ \text{Amount for gasoline and motel rooms} = \frac{3}{5} \times 3000 = 1800 \]

Now, we need to find the remainder of the money after spending on gasoline and motel rooms. We subtract this amount from the total amount:

\[ \text{Remainder} = 3000 - 1800 = 1200 \]

Next, the family plans to spend \( \frac{1}{2} \) of this remainder on meals. We calculate this as follows:

\[ \text{Amount for meals} = \frac{1}{2} \times 1200 = 600 \]

Thus, Molly's family plans to spend \(\boxed{600}\) dollars on meals.