Questions: The pie chart below shows how the total annual income for a certain family is spent. If the amount budgeted for Insurance, Savings, and Auto combined is 23,200, what is the total family income?

Solution Steps

The problem states that the combined budget for Insurance, Savings, and Auto is $23,200. The pie chart provides the percentages for each category:

• Insurance: 10%
• Savings: 7%
• Auto: 12%

Add the percentages for Insurance, Savings, and Auto: \[ 10\% + 7\% + 12\% = 29\% \]

Let \( x \) be the total family income. According to the problem, 29% of the total family income is $23,200. Set up the equation: \[ 0.29x = 23,200 \]

Divide both sides of the equation by 0.29 to find \( x \): \[ x = \frac{23,200}{0.29} \] \[ x = 80,000 \]

Final Answer