4 tanks and 3 containers can hold 41.9 litres of water.
1 tank and 1 container can hold 11.2 litres of water.
- How many litres of water can 1 tank hold?
- How many litres of water can 1 container hold?
- How many litres of water can 6 containers hold?
- How many litres of water can 5 containers and 4 tanks?
(a)
4 tanks + 3 containers = 41.9 --- (1)
1 tank + 1 container = 11.2 --- (2)
(2) x 3
1 tank + 1 container = 11.2
3 tanks + 3 containers = 11.2 x 3
3 tanks + 3 containers = 33.6 --- (3)
(1) - (3)
(4 tanks + 3 containers) - (3 tanks + 3 containers) = 41.9 - 33.6
4 tanks + 3 containers - 3 tanks - 3 containers = 8.3
4 tanks - 3 tanks + 3 containers - 3 containers = 8.3
1 tank = 8.3
Volume of 1 tank = 8.3 ℓ
(b)
Substitute 1 tank = 8.3 into (2).
1 tank + 1 container = 11.2
8.3 + 1 container = 11.2
1 container = 11.2 - 8.3 = 2.9
Volume of 1 container = 2.9 ℓ
(c)
Volume of 6 containers
= 6 x 2.9
= 17.4 ℓ
(d)
Volume of 5 containers and 4 tanks
= 5 x 2.9 + 4 x 8.3
= 14.5 + 33.2
= 47.7 ℓ
Answer(s): (a) 8.3 ℓ; (b) 2.9 ℓ; (c) 17.4 ℓ; (d) 47.7 ℓ