Question
Madison family spent \( \$ 540 \) for groceries in one month. That was \( 24 \% \) of their total budget. a much was their total budget for the month?
Ask by Simpson Nunez. in the United States
Mar 09,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Their total budget for the month was \$2250.
Solution
1. Given that the Madison family spent \( \$540 \) on groceries, which represents \( 24\% \) of their total budget, we can represent this as:
\[
0.24 \times \text{Total Budget} = 540.
\]
2. To find the Total Budget, divide both sides of the equation by \( 0.24 \):
\[
\text{Total Budget} = \frac{540}{0.24}.
\]
3. Compute the division:
\[
\text{Total Budget} = 2250.
\]
Thus, their total budget for the month was \( \$2250 \).
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Simplify this solution Extra Insights
To find the total budget for the month, you can set up the equation based on the information given. If \( \$540 \) represents \( 24\% \) of the total budget, you can think of the total budget as \( x \). So the equation will be: \[ 0.24x = 540 \] Now, solve for \( x \): \[ x = \frac{540}{0.24} = 2250 \] So, their total budget for the month was \( \$2250 \). That's quite a considerable budget for groceries! Now you know where to allocate your funds to ensure you have enough pizzazz for that monthly feast! 🥳🍽️
