The total mass of 3 packets of brown rice and 6 bags of barley was 36 kg. Each bag of barley was 6 kg lighter than each packet of brown rice.
- What was the mass of 1 packet of brown rice?
- What was the mass of 1 bag of barley?
(a)
Mass of a bag of barley = 1 u
Mass of a packet of brown rice = 1 u + 6
3 x (1 u + 6) + 6 x 1 u = 36
3 u + 18 + 6 u = 36
3 u + 6 u = 36 - 18
9 u = 18
1 u = 18 ÷ 9 = 2
Mass of 1 packet of brown rice
= 2 + 6
= 8 kg
(b)
Mass of 1 bag of barley = 1 u = 2 kg
Answer(s): (a) 8 kg; (b) 2 kg