4 tanks and 3 containers can hold 42.6 litres of water.
1 tank and 1 container can hold 11.3 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 3 containers and 4 tanks?
(a)
4 tanks + 3 containers = 42.6 --- (1)
1 tank + 1 container = 11.3 --- (2)
(2) x 3
1 tank + 1 container = 11.3
3 tanks + 3 containers = 11.3 x 3
3 tanks + 3 containers = 33.9 --- (3)
(1) - (3)
(4 tanks + 3 containers) - (3 tanks + 3 containers) = 42.6 - 33.9
4 tanks + 3 containers - 3 tanks - 3 containers = 8.7
4 tanks - 3 tanks + 3 containers - 3 containers = 8.7
1 tank = 8.7
Volume of 1 tank = 8.7 ℓ
(b)
Substitute 1 tank = 8.7 into (2).
1 tank + 1 container = 11.3
8.7 + 1 container = 11.3
1 container = 11.3 - 8.7 = 2.6
Volume of 1 container = 2.6 ℓ
(c)
Volume of 6 containers
= 6 x 2.6
= 15.6 ℓ
(d)
Volume of 3 containers and 4 tanks
= 3 x 2.6 + 4 x 8.7
= 7.8 + 34.8
= 42.6 ℓ
Answer(s): (a) 8.7 ℓ; (b) 2.6 ℓ; (c) 15.6 ℓ; (d) 42.6 ℓ