ITPEC IP April 2024 Question 68
The table below is a part of the ingredients table of a steamed meat dumplings lunch box. How many grams of meat is necessary to prepare 100 steamed meat dumplings lunch boxes? Here, the steamed meat dumplings lunch boxes do not contain any dish that uses meat other than the steamed meat dumplings, and there is no loss of ingredients in the preparing process.
Explanation
6,000 grams — explode the ingredients table level by level, from lunch boxes to dumplings to stuffing to meat.
- •Dumplings: 5 per lunch box, so 100 × 5 = 500 dumplings
- •Stuffing: 20 grams per dumpling, so 500 × 20 = 10,000 grams
- •Meat: 60 grams per 100 grams of stuffing, so 10,000 × 60 ÷ 100 = 6,000 grams
The lunch box has no other dish with meat and nothing is lost in preparation, so 6,000 grams is the whole requirement.
Answer (c)
Why not others:
- •(a) 1,200 — skips the 5 dumplings per box, treating 100 boxes as 100 dumplings: 100 × 20 × 60 ÷ 100
- •(b) 3,000 — reads the onion row (30 grams per 100 grams of stuffing) instead of meat: 10,000 × 30 ÷ 100
- •(d) 30,000 — takes 60 grams of meat per dumpling, 500 × 60, skipping the step that a dumpling holds only 20 grams of stuffing
Key rule: In a bill of materials, multiply down every level of the structure, and read each quantity against its own unit (per box, per dumpling, per 100 grams).
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