The total mass of 2 packets of barley and 5 bags of oat was 34 kg. Each bag of oat was 3 kg lighter than each packet of barley.
- What was the mass of 1 packet of barley?
- What was the mass of 1 bag of oat?
(a)
Mass of a bag of oat = 1 u
Mass of a packet of barley = 1 u + 3
2 x (1 u + 3) + 5 x 1 u = 34
2 u + 6 + 5 u = 34
2 u + 5 u = 34 - 6
7 u = 28
1 u = 28 ÷ 7 = 4
Mass of 1 packet of barley
= 4 + 3
= 7 kg
(b)
Mass of 1 bag of oat = 1 u = 4 kg
Answer(s): (a) 7 kg; (b) 4 kg