The total mass of 7 packets of sesame seed and 6 bags of black bean was 41 kg. Each bag of black bean was 4 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 black bean?
(a)
Mass of a bag of black bean = 1 u
Mass of a packet of sesame seed = 1 u + 4
7 x (1 u + 4) + 6 x 1 u = 41
7 u + 28 + 6 u = 41
7 u + 6 u = 41 - 28
13 u = 13
1 u = 13 ÷ 13 = 1
Mass of 1 packet of sesame seed
= 1 + 4
= 5 kg
(b)
Mass of 1 bag of black bean = 1 u = 1 kg
Answer(s): (a) 5 kg; (b) 1 kg