There are seven categories of​ expenses: miscellaneous, child care and​ education, health​ care, clothing,​ transportation, food, and housing. The amount of money in each of these categories is represented by the pie chart. What percent of the total expenditures in these seven categories was spent on​ food?

A pie chart has 7 sectors as follows: Miscellaneous, $1091; Child care forward slash Education, $1658; Health Care, $1013; Clothing, $728; Transportation, $1752; Food, $2212; Housing, $3870.
Miscellaneous $1091
Child care/Education $1658
Health Care $1013
Clothing $728
Transportation $1752
Food $2212
Housing $3870
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Part 1
The answer is
  
enter your response here​%.

1 answer

To determine the percent of the total expenditures spent on food, we first need to calculate the total amount spent on all categories. Then, we can use that total to find the percentage of the total that corresponds to the food category.

Step-by-step calculations are as follows:

1. **Calculate the total expenditures**:
\[
\text{Total} = \text{Miscellaneous} + \text{Child Care/Education} + \text{Health Care} + \text{Clothing} + \text{Transportation} + \text{Food} + \text{Housing}
\]
\[
\text{Total} = 1091 + 1658 + 1013 + 728 + 1752 + 2212 + 3870
\]
\[
\text{Total} = 12324
\]

2. **Calculate the percent spent on food**:
\[
\text{Percent spent on food} = \left( \frac{\text{Food}}{\text{Total}} \right) \times 100
\]
\[
\text{Percent spent on food} = \left( \frac{2212}{12324} \right) \times 100
\]
\[
\text{Percent spent on food} \approx 17.95\%
\]

Therefore, approximately 17.95% of the total expenditures was spent on food.