Question

the circle graph shows how a family spends its annual income. if $30,000 is used for entertainment and savings combined, what is the total annual income? entertainment 12%, auto 12%, clothing 17%, food 18%, housing 23%, insurance 10%, savings 8%

Explanation:

Step1: Calculate combined percentage of Entertainment and Savings

The percentage of Entertainment is 12% and of Savings is 8%. The combined percentage is \(12\%+ 8\%=20\%\).

Step2: Set up proportion to find total income

Let the total annual income be \(x\). We know that 20% of \(x\) is equal to 30000. So the equation is \(0.2x = 30000\).

Step3: Solve for \(x\)

Divide both sides of the equation \(0.2x=30000\) by 0.2. So \(x=\frac{30000}{0.2}=150000\).

Answer:

150000