The total mass of 8 packets of green bean and 5 bags of ground pepper was 37 kg. Each bag of ground pepper was 3 kg lighter than each packet of green bean.
- What was the mass of 1 packet of green bean?
- What was the mass of 1 bag of ground pepper?
(a)
Mass of a bag of ground pepper = 1 u
Mass of a packet of green bean = 1 u + 3
8 x (1 u + 3) + 5 x 1 u = 37
8 u + 24 + 5 u = 37
8 u + 5 u = 37 - 24
13 u = 13
1 u = 13 ÷ 13 = 1
Mass of 1 packet of green bean
= 1 + 3
= 4 kg
(b)
Mass of 1 bag of ground pepper = 1 u = 1 kg
Answer(s): (a) 4 kg; (b) 1 kg