7 tanks and 6 containers can hold 60.4 litres of water.
1 tank and 1 container can hold 8.8 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 8 containers hold?
- How many litres of water can 7 containers and 7 tanks?
(a)
7 tanks + 6 containers = 60.4 --- (1)
1 tank + 1 container = 8.8 --- (2)
(2) x 6
1 tank + 1 container = 8.8
6 tanks + 6 containers = 8.8 x 6
6 tanks + 6 containers = 52.8 --- (3)
(1) - (3)
(7 tanks + 6 containers) - (6 tanks + 6 containers) = 60.4 - 52.8
7 tanks + 6 containers - 6 tanks - 6 containers = 7.6
7 tanks - 6 tanks + 6 containers - 6 containers = 7.6
1 tank = 7.6
Volume of 1 tank = 7.6 ℓ
(b)
Substitute 1 tank = 7.6 into (2).
1 tank + 1 container = 8.8
7.6 + 1 container = 8.8
1 container = 8.8 - 7.6 = 1.2
Volume of 1 container = 1.2 ℓ
(c)
Volume of 8 containers
= 8 x 1.2
= 9.6 ℓ
(d)
Volume of 7 containers and 7 tanks
= 7 x 1.2 + 7 x 7.6
= 8.4 + 53.2
= 61.6 ℓ
Answer(s): (a) 7.6 ℓ; (b) 1.2 ℓ; (c) 9.6 ℓ; (d) 61.6 ℓ