To determine how much Molly's family plans to spend on meals, we will need to break down the total amount they have set aside and apply the spending proportions for gasoline, motel rooms, and meals.
Since the problem does not specify the proportions to be spent on gasoline and motel rooms, I will assume you meant to indicate a fraction for each that might look something like "x of this amount on gasoline and y of the remainder on meals."
Let’s consider two hypothetical fractions for example:
- Let's say they plan to spend \( \frac{1}{4} \) of the amount on gasoline and motel rooms combined.
- After that, they may spend \( \frac{2}{3} \) of the remainder on meals.
Step 1: Calculate the amount spent on gasoline and motel rooms.
If they spend \( \frac{1}{4} \) of $3,000 on gasoline and motel rooms:
\[
\text{Gas and Rooms} = \frac{1}{4} \times 3000 = 750
\]
Step 2: Calculate the remainder.
Subtract the gasoline and motel expenses from the total:
\[
\text{Remainder} = 3000 - 750 = 2250
\]
Step 3: Calculate the amount spent on meals.
If they spend \( \frac{2}{3} \) of the remainder on meals:
\[
\text{Meals} = \frac{2}{3} \times 2250 = 1500
\]
In this hypothetical scenario, Molly's family plans to spend $1,500 on meals.
Since your prompt did not include the specific fractions, I encourage you to employ the above logic with the exact fractions you have in mind to determine the total amount spent on meals. However, if you follow the example given, based on the assumption that Molly's family spends these fractions, the closest answer according to the options would be:
D. $1,500
If the fractions were different, please provide those specifics, and I can update the calculations accordingly.
