The total mass of 8 bags of green bean and 7 packets of barley was 31 kg. Each packet of barley was 2 kg lighter than each bag of green bean.
- What was the mass of 1 bag of green bean?
- What was the mass of 1 packet of barley?
(a)
Mass of a packet of barley = 1 u
Mass of a bag of green bean = 1 u + 2
8 x (1 u + 2) + 7 x 1 u = 31
8 u + 16 + 7 u = 31
8 u + 7 u = 31 - 16
15 u = 15
1 u = 15 ÷ 15 = 1
Mass of 1 bag of green bean
= 1 + 2
= 3 kg
(b)
Mass of 1 packet of barley = 1 u = 1 kg
Answer(s): (a) 3 kg; (b) 1 kg