5 pails and 4 tanks can hold 28.4 litres of water.
1 pail and 1 tank can hold 6.2 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 9 tanks and 5 pails?
(a)
5 pails + 4 tanks = 28.4 --- (1)
1 pail + 1 tank = 6.2 --- (2)
(2) x 4
1 pail + 1 tank = 6.2
4 pails + 4 tanks = 6.2 x 4
4 pails + 4 tanks = 24.8 --- (3)
(1) - (3)
(5 pails + 4 tanks) - (4 pails + 4 tanks) = 28.4 - 24.8
5 pails + 4 tanks - 4 pails - 4 tanks = 3.6
5 pails - 4 pails + 4 tanks - 4 tanks = 3.6
1 pail = 3.6
Volume of 1 pail = 3.6 ℓ
(b)
Substitute 1 pail = 3.6 into (2).
1 pail + 1 tank = 6.2
3.6 + 1 tank = 6.2
1 tank = 6.2 - 3.6 = 2.6
Volume of 1 tank = 2.6 ℓ
(c)
Volume of 4 tanks
= 4 x 2.6
= 10.4 ℓ
(d)
Volume of 9 tanks and 5 pails
= 9 x 2.6 + 5 x 3.6
= 23.4 + 18
= 41.4 ℓ
Answer(s): (a) 3.6 ℓ; (b) 2.6 ℓ; (c) 10.4 ℓ; (d) 41.4 ℓ