6 containers and 5 tanks can hold 36.9 litres of water.
1 container and 1 tank can hold 6.4 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 6 tanks hold?
- How many litres of water can 7 tanks and 6 containers?
(a)
6 containers + 5 tanks = 36.9 --- (1)
1 container + 1 tank = 6.4 --- (2)
(2) x 5
1 container + 1 tank = 6.4
5 containers + 5 tanks = 6.4 x 5
5 containers + 5 tanks = 32 --- (3)
(1) - (3)
(6 containers + 5 tanks) - (5 containers + 5 tanks) = 36.9 - 32
6 containers + 5 tanks - 5 containers - 5 tanks = 4.9
6 containers - 5 containers + 5 tanks - 5 tanks = 4.9
1 container = 4.9
Volume of 1 container = 4.9 ℓ
(b)
Substitute 1 container = 4.9 into (2).
1 container + 1 tank = 6.4
4.9 + 1 tank = 6.4
1 tank = 6.4 - 4.9 = 1.5
Volume of 1 tank = 1.5 ℓ
(c)
Volume of 6 tanks
= 6 x 1.5
= 9 ℓ
(d)
Volume of 7 tanks and 6 containers
= 7 x 1.5 + 6 x 4.9
= 10.5 + 29.4
= 39.9 ℓ
Answer(s): (a) 4.9 ℓ; (b) 1.5 ℓ; (c) 9 ℓ; (d) 39.9 ℓ