9 containers and 8 tanks can hold 92.1 litres of water.
1 container and 1 tank can hold 10.4 litres of water.
- How many litres of water can 1 container hold?
- How many litres of water can 1 tank hold?
- How many litres of water can 8 tanks hold?
- How many litres of water can 5 tanks and 9 containers?
(a)
9 containers + 8 tanks = 92.1 --- (1)
1 container + 1 tank = 10.4 --- (2)
(2) x 8
1 container + 1 tank = 10.4
8 containers + 8 tanks = 10.4 x 8
8 containers + 8 tanks = 83.2 --- (3)
(1) - (3)
(9 containers + 8 tanks) - (8 containers + 8 tanks) = 92.1 - 83.2
9 containers + 8 tanks - 8 containers - 8 tanks = 8.9
9 containers - 8 containers + 8 tanks - 8 tanks = 8.9
1 container = 8.9
Volume of 1 container = 8.9 ℓ
(b)
Substitute 1 container = 8.9 into (2).
1 container + 1 tank = 10.4
8.9 + 1 tank = 10.4
1 tank = 10.4 - 8.9 = 1.5
Volume of 1 tank = 1.5 ℓ
(c)
Volume of 8 tanks
= 8 x 1.5
= 12 ℓ
(d)
Volume of 5 tanks and 9 containers
= 5 x 1.5 + 9 x 8.9
= 7.5 + 80.1
= 87.6 ℓ
Answer(s): (a) 8.9 ℓ; (b) 1.5 ℓ; (c) 12 ℓ; (d) 87.6 ℓ