Take your favourite dish. Find out all the ingredients and their respective quantities needed to make the dish for your family. Suppose you are celebrating a festival and you want to invite 15 guests. Find out the quantities of the ingredients required to cook the same dish for them.
Step 1: Identify the original quantities of ingredients for your family size.
Step 2: Determine how many people the original recipe serves.
Step 3: Calculate the scaling factor.
Formula: Scaling Factor = (Original servings + 15 guests) ÷ Original servings
Step 4: Multiply each ingredient quantity by the scaling factor.
Example: Given: A dish serves 4 family members and needs 200g of rice.
For 19 people (4 family + 15 guests):
Calculation: Scaling factor = 19 ÷ 4 = 4.75
Rice needed = 200g × 4.75 = 950g
Answer: 950g of rice is required for 19 people.
Explanation
This activity applies proportional reasoning to real-life cooking. Students learn to scale recipes proportionally based on the number of servings needed. The key concept is that all ingredient quantities must change by the same factor to maintain the taste and consistency of the dish.
Solution Steps
Identify the original quantities of ingredients for your family size.
Determine how many people the original recipe serves.
Calculate the scaling factor: (Original servings + 15 guests) ÷ Original servings.
Multiply each ingredient quantity by the scaling factor.
Apply to example: For 4 family members needing 200g rice, scaling factor = 19 ÷ 4 = 4.75.
Calculate rice needed: 200g × 4.75 = 950g.