Let's go through the calculations step-by-step again, using the original problem to ensure we clarify the calculations and match one of the provided options.
-
Calculate the amount spent on gasoline and motel rooms:
The family plans to spend \(\frac{3}{5}\) of $3,000.
\[
\text{Amount for gasoline and motel} = \frac{3}{5} \times 3000 = 1800
\]
-
Determine the remaining amount after spending on gasoline and motel rooms:
To find the amount remaining after the gasoline and motel expenses, we subtract the above amount from the total amount:
\[
\text{Remaining amount} = 3000 - 1800 = 1200
\]
-
Calculate the amount spent on meals:
The family plans to spend \(\frac{1}{4}\) of the remaining amount on meals, NOT \(\frac{1}{2}\) as it seems. The question likely meant to say they spend a quarter of what remains.
\[
\text{Amount for meals} = \frac{1}{4} \times 1200 = 300
\]
So far, we have $300 for meals.
Since none of the provided options matches $300 for meals, let's re-check the fraction term given in your problem description:
If the intention was to find out what they are spending overall either differently or with a different share for meals provides an option but based on the available choices and what has been presented, it’s essential that we focus on any potential discrepancies in descriptions.
Let's verify the calculation and look
- Amount left after Gasoline and Motel is still $1200,
Thus if it were a different percentage share for Meals with following scenario:
- If they have \(1/2\) not \(1/4\), that would yield with remaining:
\[
\text{If the fraction were} , \frac{1}{2} , \text{for meals:}
\]
\[
= \frac{1}{2} \times 1200 = 600
\]
This would indeed meet one option available $600.
However, based on the initial question context, I re-confirm we'd use \(\frac{1}{4}\) resulting in $300.
Please clarify if it is necessary or an error with \(1/2\) or similar adjustments. Let me know if you need any other assistance!
