5 pails and 4 tanks can hold 47.2 litres of water.
1 pail and 1 tank can hold 9.7 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 9 tanks hold?
- How many litres of water can 8 tanks and 5 pails?
(a)
5 pails + 4 tanks = 47.2 --- (1)
1 pail + 1 tank = 9.7 --- (2)
(2) x 4
1 pail + 1 tank = 9.7
4 pails + 4 tanks = 9.7 x 4
4 pails + 4 tanks = 38.8 --- (3)
(1) - (3)
(5 pails + 4 tanks) - (4 pails + 4 tanks) = 47.2 - 38.8
5 pails + 4 tanks - 4 pails - 4 tanks = 8.4
5 pails - 4 pails + 4 tanks - 4 tanks = 8.4
1 pail = 8.4
Volume of 1 pail = 8.4 ℓ
(b)
Substitute 1 pail = 8.4 into (2).
1 pail + 1 tank = 9.7
8.4 + 1 tank = 9.7
1 tank = 9.7 - 8.4 = 1.3
Volume of 1 tank = 1.3 ℓ
(c)
Volume of 9 tanks
= 9 x 1.3
= 11.7 ℓ
(d)
Volume of 8 tanks and 5 pails
= 8 x 1.3 + 5 x 8.4
= 10.4 + 42
= 52.4 ℓ
Answer(s): (a) 8.4 ℓ; (b) 1.3 ℓ; (c) 11.7 ℓ; (d) 52.4 ℓ