A worker's monthly expenses are represented in a pie chart. Rent is $80, which corresponds to 96 degrees. How much did the worker save if saving is 56 degrees?

Here's how to solve the problem using the information from the pie chart: First, let's identify the angles for each category from the pie chart: • Rent: 96^ • Cloth: 43^ • Shelter: 45^ • Food: 120^ • Saving: 56^ The sum of these angles is 96^ + 43^ + 45^ + 120^ + 56^ = 360^, which is the total angle in a circle. We are given that Rent charges were 80.00. Step 1: Determine the total salary. The rent of 80.00 corresponds to an angle of 96^. We can use this to find the total salary, which corresponds to 360^. Total Salary = (80.00)/(96^) × 360^ Total Salary = (80)/(96) × 360 Total Salary = (5)/(6) × 360 Total Salary = 5 × 60 = 300.00 a) How much did the worker save? Step 1: Identify the angle for Saving. From the pie chart, the angle for Saving is 56^. Step 2: Calculate the amount saved. We use the angle for saving and the total salary. Amount saved = (56^)/(360^) × Total Salary Amount saved = (56)/(360) × 300.00 Amount saved = (56 × 300)/(360) = (56 × 30)/(36) = (56 × 5)/(6) = (280)/(6) = (140)/(3) Amount saved ≈ 46.67 b) What fraction of his salary was spent on Food? Step 1: Identify the angle for Food. From the pie chart, the angle for Food is 120^. Step 2: Calculate the fraction. The fraction is the angle for Food divided by the total angle of the circle. Fraction for Food = Angle for FoodTotal Angle Fraction for Food = (120^)/(360^) = (1)/(3) c) How much did he spend on food? Step 1: Calculate the amount spent on Food. Using the fraction for Food from part b) and the Total Salary calculated in the initial step: Amount spent on Food = Fraction for Food × Total Salary Amount spent on Food = (1)/(3) × 300.00 $