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Weight Mystery Case File

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Weight Mystery Case File

Rían and Adam are checking a delivery at a busy pizza shop. Four sealed ingredient tubs have lost their labels. Use the evidence to identify each tub’s mass and solve the case. Remember: 1 kg = 1,000 g. Show your calculations and include units.

Evidence board

The scale readings are: Tub A = 650 g; Tub B = 1 kg 150 g; Tub C = 850 g; Tub D = 1.5 kg. Use these readings for Questions 1–4.

Tub A 650 g

Tub B 1 kg 150 g

Tub C 850 g

Tub D 1.5 kg

1.Write each tub’s mass in the other unit: (a) Tub A in kilograms; (b) Tub B in grams; (c) Tub C in kilograms; (d) Tub D in grams.

2.Put the tubs in order from lightest to heaviest. Then state the difference in mass between the lightest and heaviest tubs.

3.The two tubs of cheese, A and C, should have a combined mass of 1.5 kg. Do the scale readings fit the clue? Show the calculation.

4.Tub B is 300 g heavier than Tub C. Is that clue correct? Work out the difference and explain your decision.

Yes, because 1,150 g − 850 g = 300 g.
No, because the difference is 200 g.
No, because the difference is 500 g.

5.The heaviest tub is twice the mass of the lightest tub. Check whether the readings support this clue. If not, give the correct doubled mass and name the tub that would match it.

Pizza-shop packing challenge

For Questions 6–9, use the new packing order described in each question. Show your working and keep units consistent.

6.A flour tub has a mass of 2 kg 350 g. A tomato tub has a mass of 875 g. What is their total mass in grams and in kilograms and grams?

7.A delivery contains 3 kg of cheese. The shop uses 1 kg 275 g. How much cheese remains? Give your answer in grams and kilograms and grams.

8.Order One needs 1 kg 650 g of ingredients. Order Two needs 2,025 g. Which order is heavier, and by how much?

9.A delivery crate can hold at most 4 kg. Rían packs tubs weighing 1 kg 450 g, 975 g and 1 kg 625 g. Does the crate stay within the limit? How much capacity remains, or how much is over the limit?

10.Adam says 900 g is heavier than 1 kg because 900 is a larger number than 1. Explain his mistake and state which mass is greater.