The total mass of 3 packets of potato starch and 8 bags of peppercorn was 46 kg. Each bag of peppercorn was 8 kg lighter than each packet of potato starch.
- What was the mass of 1 packet of potato starch?
- What was the mass of 1 bag of peppercorn?
(a)
Mass of a bag of peppercorn = 1 u
Mass of a packet of potato starch = 1 u + 8
3 x (1 u + 8) + 8 x 1 u = 46
3 u + 24 + 8 u = 46
3 u + 8 u = 46 - 24
11 u = 22
1 u = 22 ÷ 11 = 2
Mass of 1 packet of potato starch
= 2 + 8
= 10 kg
(b)
Mass of 1 bag of peppercorn = 1 u = 2 kg
Answer(s): (a) 10 kg; (b) 2 kg