The total mass of 5 packets of black bean and 3 bags of sesame seed was 43 kg. Each bag of sesame seed was 7 kg lighter than each packet of black bean.
- What was the mass of 1 packet of black bean?
- What was the mass of 1 bag of sesame seed?
(a)
Mass of a bag of sesame seed = 1 u
Mass of a packet of black bean = 1 u + 7
5 x (1 u + 7) + 3 x 1 u = 43
5 u + 35 + 3 u = 43
5 u + 3 u = 43 - 35
8 u = 8
1 u = 8 ÷ 8 = 1
Mass of 1 packet of black bean
= 1 + 7
= 8 kg
(b)
Mass of 1 bag of sesame seed = 1 u = 1 kg
Answer(s): (a) 8 kg; (b) 1 kg