9 containers and 8 tanks can hold 116.6 litres of water.
1 container and 1 tank can hold 13.5 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 4 tanks hold?
- How many litres of water can 3 tanks and 9 containers?
(a)
9 containers + 8 tanks = 116.6 --- (1)
1 container + 1 tank = 13.5 --- (2)
(2) x 8
1 container + 1 tank = 13.5
8 containers + 8 tanks = 13.5 x 8
8 containers + 8 tanks = 108 --- (3)
(1) - (3)
(9 containers + 8 tanks) - (8 containers + 8 tanks) = 116.6 - 108
9 containers + 8 tanks - 8 containers - 8 tanks = 8.6
9 containers - 8 containers + 8 tanks - 8 tanks = 8.6
1 container = 8.6
Volume of 1 container = 8.6 ℓ
(b)
Substitute 1 container = 8.6 into (2).
1 container + 1 tank = 13.5
8.6 + 1 tank = 13.5
1 tank = 13.5 - 8.6 = 4.9
Volume of 1 tank = 4.9 ℓ
(c)
Volume of 4 tanks
= 4 x 4.9
= 19.6 ℓ
(d)
Volume of 3 tanks and 9 containers
= 3 x 4.9 + 9 x 8.6
= 14.7 + 77.4
= 92.1 ℓ
Answer(s): (a) 8.6 ℓ; (b) 4.9 ℓ; (c) 19.6 ℓ; (d) 92.1 ℓ