Subjects algebra

Ingredient Costs 26C997

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1. **State the problem:** Calculate the total amounts of tomatoes, onions, and cooking oil needed for beef and beans for two occasions combined, then find the total cost for each, and determine the percentage of a 400000 budget spent on ingredients to decide if the budget should be cut. 2. **Given data:** - Prices: bucket of tomatoes = 10000, bunch of onions = 5000, litre of cooking oil = 7000 - Occasion 1: - Beans: 1/2 bucket tomatoes, 1 bunch onions, 1 litre oil - Beef: 1 bucket tomatoes, 2 bunches onions, 2 litres oil - Occasion 2: - Beans: 1/2 bucket tomatoes, 1 bunch onions, 1 litre oil - Beef: 1 and 1/2 buckets tomatoes, 3 bunches onions, 2 litres oil 3. **Calculate total ingredients for beef:** - Tomatoes: $1 + 1.5 = 2.5$ buckets - Onions: $2 + 3 = 5$ bunches - Oil: $2 + 2 = 4$ litres 4. **Calculate total ingredients for beans:** - Tomatoes: $\frac{1}{2} + \frac{1}{2} = 1$ bucket - Onions: $1 + 1 = 2$ bunches - Oil: $1 + 1 = 2$ litres 5. **Calculate total cost for beef:** - Tomatoes: $2.5 \times 10000 = 25000$ - Onions: $5 \times 5000 = 25000$ - Oil: $4 \times 7000 = 28000$ - Total beef cost: $25000 + 25000 + 28000 = 78000$ 6. **Calculate total cost for beans:** - Tomatoes: $1 \times 10000 = 10000$ - Onions: $2 \times 5000 = 10000$ - Oil: $2 \times 7000 = 14000$ - Total beans cost: $10000 + 10000 + 14000 = 34000$ 7. **Calculate total cost for both beef and beans:** - $78000 + 34000 = 112000$ 8. **Calculate percentage of budget spent on ingredients:** - Budget = 400000 - Percentage = $\frac{112000}{400000} \times 100 = 28\%$ 9. **Decision:** - Since only 28% of the budget is used for ingredients, which is less than half, there is no need to cut the budget for ingredients. **Final answers:** - Total ingredients for beef: 2.5 buckets tomatoes, 5 bunches onions, 4 litres oil - Total ingredients for beans: 1 bucket tomatoes, 2 bunches onions, 2 litres oil - Total cost for beef: 78000 - Total cost for beans: 34000 - Percentage of budget used: 28% - Budget cut needed? No, because the ingredient cost is well within the budget.