The total mass of 3 bags of oat and 8 packets of black bean was 43 kg. Each packet of black bean was 7 kg lighter than each bag of oat.
- What was the mass of 1 bag of oat?
- What was the mass of 1 packet of black bean?
(a)
Mass of a packet of black bean = 1 u
Mass of a bag of oat = 1 u + 7
3 x (1 u + 7) + 8 x 1 u = 43
3 u + 21 + 8 u = 43
3 u + 8 u = 43 - 21
11 u = 22
1 u = 22 ÷ 11 = 2
Mass of 1 bag of oat
= 2 + 7
= 9 kg
(b)
Mass of 1 packet of black bean = 1 u = 2 kg
Answer(s): (a) 9 kg; (b) 2 kg