Subjects mathematical literacy

David Budget

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David Budget


1. **Problem statement:** Calculate various financial details for David's motorcycle service business based on the given budget. 2. **Calculate total income:** - Income from motorcycle services = 33 150 - Income from car washes = 1 625 - Total income = 33 150 + 1 625 = $$34\,775$$ 3. **Calculate amount charged per motorcycle service:** - Total income from motorcycle services = 33 150 - Number of motorcycle services = 26 - Amount per service = $$\frac{33\,150}{26} = 1\,275$$ 4. **Calculate amount spent on motorcycle parts:** - Total expenses = 7 927.86 - Known expenses: detergents = 375, water = 850.25, other = 1 500 - Sum of known expenses = 375 + 850.25 + 1 500 = 2 725.25 - Motorcycle parts expense = Total expenses - Known expenses = 7 927.86 - 2 725.25 = $$5\,202.61$$ 5. **Calculate percentage of total expenses spent on water:** - Water expense = 850.25 - Total expenses = 7 927.86 - Percentage = $$\left(\frac{850.25}{7\,927.86}\right) \times 100 = 10.72\%$$ **Final answers:** - Total income = $$34\,775$$ - Amount per motorcycle service = $$1\,275$$ - Amount spent on motorcycle parts = $$5\,202.61$$ - Percentage spent on water = $$10.72\%$$