Question

angela categorized her spending for this month into four categories: rent, food, fun, and other. the percents she spent in each category are pictured here.
if angela spent a total of $2400 this month, how much did she spend on fun?
$456
$18
$432

Explanation:

Step1: Calculate the amount spent on Fun

The formula to find the amount spent on a category is \( \text{Amount} = \text{Total Spending}\times\text{Percentage (in decimal)} \).
The percentage spent on Fun is \(18\%=\frac{18}{100} = 0.18\), and the total spending is \(T = 2400\).
So, the amount spent on Fun \(A=2400\times0.18\).

Step2: Perform the multiplication

\(2400\times0.18=(24\times100)\times\frac{18}{100}\).
Using the associative property of multiplication \((24\times\frac{18}{100})\times100\) is incorrect. Instead, \(2400\times0.18 = 2400\times(18\div100)=(2400\div100)\times18\).
\(2400\div100 = 24\), then \(24\times18=(20 + 4)\times18=20\times18+4\times18=360+72 = 432\).

Answer:

\(\$432\)