This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
i) Find angle y representing savings for the month. Step 1: The sum of all angles in a pie chart is 360^. Add the given angles for Food, Others, Clothing, and Rent. 108^ + 84^ + 60^ + 72^ = 324^ Step 2: Subtract this sum from 360^ to find the angle y for savings. y = 360^ - 324^ = 36^ The angle representing savings is 36^. ii) What is the man's salary for the month? Step 1: The problem states that GH¢180.00 was spent on Rent, which corresponds to an angle of 72^. Calculate the monetary value per degree. Value per degree = GH¢180.0072^ = GH¢2.50/degree Step 2: The total salary corresponds to the full circle, which is 360^. Multiply the value per degree by 360^ to find the total salary. Total Salary = GH¢2.50/degree × 360^ = GH¢900.00 The man's salary for the month is GH¢900.00. iii) By how much does expenditure on others exceed that on clothing. Step 1: Calculate the expenditure on "Others". The angle for "Others" is 84^. Expenditure on Others = 84^ × GH¢2.50/degree = GH¢210.00 Step 2: Calculate the expenditure on "Clothing". The angle for "Clothing" is 60^. Expenditure on Clothing = 60^ × GH¢2.50/degree = GH¢150.00 Step 3: Find the difference between the expenditure on "Others" and "Clothing". Difference = GH¢210.00 - GH¢150.00 = GH¢60.00 The expenditure on others exceeds that on clothing by GH¢60.00. Send me the next one 📸