To solve the problem and compare Katie's spending on food with the average spending on food, follow these steps:
1. Understand the problem and the given data:
- We are given average percentage values of adult spending on different categories in 2008.
- Katie's total spending in May 2008 was [tex]$24845.
- Out of this total, Katie spent $[/tex]2430 on food.
- We need to calculate the percentage of Katie's total spending that went to food and compare this with the average percentage of total adult spending on food.
2. Extract relevant information:
- Average percentage of total adult spending on food in 2008: [tex]\( \frac{1196}{100} = 11.96\% \)[/tex].
- Katie's total spending: [tex]\( \$24845 \)[/tex].
- Katie's spending on food: [tex]\( \$2430 \)[/tex].
3. Calculate the percentage of Katie's total spending that went to food:
To find what percentage of Katie's total spending was dedicated to food, use the formula for percentage:
[tex]\[
\text{Percentage} = \left( \frac{\text{Amount spent on food}}{\text{Total amount spent}} \right) \times 100
\][/tex]
Plugging in the values:
[tex]\[
\text{Katie's food spending percentage} = \left( \frac{2430}{24845} \right) \times 100 \approx 9.78\%
\][/tex]
4. Compare Katie's food spending percentage with the average:
- Average adult spending on food: [tex]\( 11.96\% \)[/tex].
- Katie's spending on food: [tex]\( 9.78\% \)[/tex].
5. Interpret the results:
- Katie spent [tex]\( 9.78\% \)[/tex] of her total spending on food in May 2008.
- The average adult spent [tex]\( 11.96\% \)[/tex] of their total spending on food in 2008.
- We can conclude that Katie's spending on food was lower than the average adult spending on food in percentage terms.
The final numerical results show that while the average percentage of spending on food by adults in 2008 was 11.96%, Katie spent 9.78% of her total spending on food in May 2008.
