The total mass of 3 bags of corn starch and 8 packets of black bean was 37 kg. Each packet of black bean was 5 kg lighter than each bag of corn starch.
- What was the mass of 1 bag of corn starch?
- 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 corn starch = 1 u + 5
3 x (1 u + 5) + 8 x 1 u = 37
3 u + 15 + 8 u = 37
3 u + 8 u = 37 - 15
11 u = 22
1 u = 22 ÷ 11 = 2
Mass of 1 bag of corn starch
= 2 + 5
= 7 kg
(b)
Mass of 1 packet of black bean = 1 u = 2 kg
Answer(s): (a) 7 kg; (b) 2 kg