The pie chart below shows the annual salary of Mr. and Mrs. Ats from a joint account. If 15% of the salary was spent on rent:
1. What percentage was spent on food?
2. What percentage was spent on clothes?
Answer (2)
Calculate the percentage spent on food: 36 0 ∘ 10 8 ∘ × 100% = 30% .
Determine the remaining percentage after rent and food: 100% − 15% − 30% = 55% .
The percentage spent on clothes is the remaining percentage: 55% .
Therefore, the percentage spent on clothes is 55% .
Explanation
Understanding the Problem We are given a pie chart representing the annual salary distribution of Mr. and Mrs. Ats. We know that 15% of their salary is spent on rent, and the pie chart indicates that food expenses correspond to an angle of 108 degrees. The goal is to determine the percentage of their salary spent on food and clothes.
Calculating Percentage Spent on Food First, let's verify the percentage spent on food. The angle corresponding to food is 108 degrees out of a total 360 degrees in a circle. To find the percentage, we calculate: 36 0 ∘ 10 8 ∘ × 100% = 30% So, 30% of their salary is spent on food. The provided solution in the prompt confirms this.
Calculating Percentage Spent on Clothes Next, we need to find the percentage spent on clothes. We know that the total percentage must add up to 100%. We have: Rent: 15% Food: 30%
Let the percentage spent on clothes be x . Then: 15% + 30% + x = 100% 45% + x = 100% x = 100% − 45% = 55% Therefore, 55% of their salary is spent on clothes.
Final Answer In conclusion, 30% of the salary is spent on food, and 55% of the salary is spent on clothes.
Examples
Understanding how a family spends its income can be visualized using a pie chart, similar to the one in this problem. If a family earns $50,000 a year and allocates portions to rent, food, and clothes, they can use percentages to track their spending. For instance, knowing that 15% goes to rent means $7,500 is spent on rent annually. This method helps in budgeting and identifying areas where expenses can be adjusted to meet financial goals. By analyzing these proportions, families can make informed decisions about their spending habits and savings.
The percentages of Mr. and Mrs. Ats's salary spent on food and clothes are 30% and 55%, respectively. 30% of the salary is allocated to food, while 55% goes towards clothing expenses.
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