4 pails and 3 tanks can hold 21.6 litres of water.
1 pail and 1 tank can hold 5.8 litres of water.
- How many litres of water can 1 pail hold?
- How many litres of water can 1 tank hold?
- How many litres of water can 4 tanks hold?
- How many litres of water can 4 tanks and 4 pails?
(a)
4 pails + 3 tanks = 21.6 --- (1)
1 pail + 1 tank = 5.8 --- (2)
(2) x 3
1 pail + 1 tank = 5.8
3 pails + 3 tanks = 5.8 x 3
3 pails + 3 tanks = 17.4 --- (3)
(1) - (3)
(4 pails + 3 tanks) - (3 pails + 3 tanks) = 21.6 - 17.4
4 pails + 3 tanks - 3 pails - 3 tanks = 4.2
4 pails - 3 pails + 3 tanks - 3 tanks = 4.2
1 pail = 4.2
Volume of 1 pail = 4.2 ℓ
(b)
Substitute 1 pail = 4.2 into (2).
1 pail + 1 tank = 5.8
4.2 + 1 tank = 5.8
1 tank = 5.8 - 4.2 = 1.6
Volume of 1 tank = 1.6 ℓ
(c)
Volume of 4 tanks
= 4 x 1.6
= 6.4 ℓ
(d)
Volume of 4 tanks and 4 pails
= 4 x 1.6 + 4 x 4.2
= 6.4 + 16.8
= 23.2 ℓ
Answer(s): (a) 4.2 ℓ; (b) 1.6 ℓ; (c) 6.4 ℓ; (d) 23.2 ℓ