The total mass of 5 packets of peppercorn and 8 bags of black bean was 33 kg. Each bag of black bean was 4 kg lighter than each packet of peppercorn.
- What was the mass of 1 packet of peppercorn?
- 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 peppercorn = 1 u + 4
5 x (1 u + 4) + 8 x 1 u = 33
5 u + 20 + 8 u = 33
5 u + 8 u = 33 - 20
13 u = 13
1 u = 13 ÷ 13 = 1
Mass of 1 packet of peppercorn
= 1 + 4
= 5 kg
(b)
Mass of 1 bag of black bean = 1 u = 1 kg
Answer(s): (a) 5 kg; (b) 1 kg