First, let's calculate how much money Molly's family plans to spend on meals.
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Total Vacation Budget: $3,000
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Spending on Gasoline and Motel:
- They decide to spend \( \frac{3}{5} \) of their total budget on gasoline and the motel. \[ \text{Amount for Gas and Motel} = \frac{3}{5} \times 3000 = 1800 \text{ dollars} \]
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Remaining Amount for Meals:
- After spending on gas and the motel, the remaining amount is: \[ \text{Remaining Amount} = 3000 - 1800 = 1200 \text{ dollars} \]
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Spending on Meals:
- The family decides to spend \( \frac{1}{2} \) of the remaining amount on meals: \[ \text{Amount for Meals} = \frac{1}{2} \times 1200 = 600 \text{ dollars} \]
Thus, Molly's family decides to spend $600 on meals.