Help complete the conversion table for Spaghetti bolognese for different numbers of people to feed.
Understand the Problem
The question is asking for assistance in completing a conversion table for a spaghetti bolognese recipe, adjusting the ingredient quantities based on the number of people to feed. The table starts with amounts for 100 people and requires calculations for smaller servings.
Answer
- 1 person: 100g Mince, 20g Mushrooms, 10g Tomatoes, 2.5g Mixed Herbs - 50 people: 5000g Mince, 1000g Mushrooms, 500g Tomatoes, 125g Mixed Herbs - 25 people: 2500g Mince, 500g Mushrooms, 250g Tomatoes, 62.5g Mixed Herbs - 10 people: 1000g Mince, 200g Mushrooms, 100g Tomatoes, 25g Mixed Herbs
Answer for screen readers
| Number of people to feed | Mince (grams) | Mushrooms (grams) | Tomatoes (grams) | Mixed Herbs (grams) |
|---|---|---|---|---|
| 1 | 100 | 20 | 10 | 2.5 |
| 2 | 5000 | 1000 | 500 | 125 |
| 3 | 2500 | 500 | 250 | 62.5 |
| 4 | 1000 | 200 | 100 | 25 |
| 5 | 100 | 20 | 10 | 2.5 |
Steps to Solve
- Understanding the quantities for 100 people Brendan's recipe is scaled for 100 people. The ingredient amounts are as follows:
- Mince: 10kg = 10000 grams
- Mushrooms: 2kg = 2000 grams
- Tomatoes: 1kg = 1000 grams
- Mixed Herbs: 250 grams
-
Calculating for different number of servings To fill in the conversion table, we need to scale the ingredient quantities based on the number of people to feed.
-
Calculating for 50 people For 50 people, the quantities are halved:
- Mince: $$ \frac{10000}{2} = 5000 \text{ grams} $$
- Mushrooms: $$ \frac{2000}{2} = 1000 \text{ grams} $$
- Tomatoes: $$ \frac{1000}{2} = 500 \text{ grams} $$
- Mixed Herbs: $$ \frac{250}{2} = 125 \text{ grams} $$
- Calculating for 25 people For 25 people, the quantities are a quarter:
- Mince: $$ \frac{10000}{4} = 2500 \text{ grams} $$
- Mushrooms: $$ \frac{2000}{4} = 500 \text{ grams} $$
- Tomatoes: $$ \frac{1000}{4} = 250 \text{ grams} $$
- Mixed Herbs: $$ \frac{250}{4} = 62.5 \text{ grams} $$
- Calculating for 10 people For 10 people, the quantities are one-tenth:
- Mince: $$ \frac{10000}{10} = 1000 \text{ grams} $$
- Mushrooms: $$ \frac{2000}{10} = 200 \text{ grams} $$
- Tomatoes: $$ \frac{1000}{10} = 100 \text{ grams} $$
- Mixed Herbs: $$ \frac{250}{10} = 25 \text{ grams} $$
- Calculating for 1 person For 1 person, the quantities are one-hundredth:
- Mince: $$ \frac{10000}{100} = 100 \text{ grams} $$
- Mushrooms: $$ \frac{2000}{100} = 20 \text{ grams} $$
- Tomatoes: $$ \frac{1000}{100} = 10 \text{ grams} $$
- Mixed Herbs: $$ \frac{250}{100} = 2.5 \text{ grams} $$
| Number of people to feed | Mince (grams) | Mushrooms (grams) | Tomatoes (grams) | Mixed Herbs (grams) |
|---|---|---|---|---|
| 1 | 100 | 20 | 10 | 2.5 |
| 2 | 5000 | 1000 | 500 | 125 |
| 3 | 2500 | 500 | 250 | 62.5 |
| 4 | 1000 | 200 | 100 | 25 |
| 5 | 100 | 20 | 10 | 2.5 |
More Information
Brendan can use this conversion table to easily scale the recipe for different numbers of people. The calculations are based on fractional quantities, allowing for flexibility in serving sizes.
Tips
- Incorrect unit conversion: Make sure to keep track of grams and kilograms. 1 kg = 1000 grams.
- Forgetting to divide correctly: Ensure correct fractions are applied based on the number of servings. This is key for accuracy.
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