3 pails and 2 tanks can hold 23.2 litres of water.
1 pail and 1 tank can hold 9.3 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 6 tanks hold?
- How many litres of water can 6 tanks and 3 pails?
(a)
3 pails + 2 tanks = 23.2 --- (1)
1 pail + 1 tank = 9.3 --- (2)
(2) x 2
1 pail + 1 tank = 9.3
2 pails + 2 tanks = 9.3 x 2
2 pails + 2 tanks = 18.6 --- (3)
(1) - (3)
(3 pails + 2 tanks) - (2 pails + 2 tanks) = 23.2 - 18.6
3 pails + 2 tanks - 2 pails - 2 tanks = 4.6
3 pails - 2 pails + 2 tanks - 2 tanks = 4.6
1 pail = 4.6
Volume of 1 pail = 4.6 ℓ
(b)
Substitute 1 pail = 4.6 into (2).
1 pail + 1 tank = 9.3
4.6 + 1 tank = 9.3
1 tank = 9.3 - 4.6 = 4.7
Volume of 1 tank = 4.7 ℓ
(c)
Volume of 6 tanks
= 6 x 4.7
= 28.2 ℓ
(d)
Volume of 6 tanks and 3 pails
= 6 x 4.7 + 3 x 4.6
= 28.2 + 13.8
= 42 ℓ
Answer(s): (a) 4.6 ℓ; (b) 4.7 ℓ; (c) 28.2 ℓ; (d) 42 ℓ