8 tanks and 7 containers can hold 85.3 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 4 containers hold?
- How many litres of water can 8 containers and 8 tanks?
(a)
8 tanks + 7 containers = 85.3 --- (1)
1 tank + 1 container = 11.2 --- (2)
(2) x 7
1 tank + 1 container = 11.2
7 tanks + 7 containers = 11.2 x 7
7 tanks + 7 containers = 78.4 --- (3)
(1) - (3)
(8 tanks + 7 containers) - (7 tanks + 7 containers) = 85.3 - 78.4
8 tanks + 7 containers - 7 tanks - 7 containers = 6.9
8 tanks - 7 tanks + 7 containers - 7 containers = 6.9
1 tank = 6.9
Volume of 1 tank = 6.9 ℓ
(b)
Substitute 1 tank = 6.9 into (2).
1 tank + 1 container = 11.2
6.9 + 1 container = 11.2
1 container = 11.2 - 6.9 = 4.3
Volume of 1 container = 4.3 ℓ
(c)
Volume of 4 containers
= 4 x 4.3
= 17.2 ℓ
(d)
Volume of 8 containers and 8 tanks
= 8 x 4.3 + 8 x 6.9
= 34.4 + 55.2
= 89.6 ℓ
Answer(s): (a) 6.9 ℓ; (b) 4.3 ℓ; (c) 17.2 ℓ; (d) 89.6 ℓ