The total mass of 3 packets of sesame seed and 3 bags of red bean was 36 kg. Each bag of red bean was 8 kg lighter than each packet of sesame seed.
- What was the mass of 1 packet of sesame seed?
- What was the mass of 1 bag of red bean?
(a)
Mass of a bag of red bean = 1 u
Mass of a packet of sesame seed = 1 u + 8
3 x (1 u + 8) + 3 x 1 u = 36
3 u + 24 + 3 u = 36
3 u + 3 u = 36 - 24
6 u = 12
1 u = 12 ÷ 6 = 2
Mass of 1 packet of sesame seed
= 2 + 8
= 10 kg
(b)
Mass of 1 bag of red bean = 1 u = 2 kg
Answer(s): (a) 10 kg; (b) 2 kg