5 pails and 4 tanks can hold 45.8 litres of water.
1 pail and 1 tank can hold 10 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 3 tanks and 5 pails?
(a)
5 pails + 4 tanks = 45.8 --- (1)
1 pail + 1 tank = 10 --- (2)
(2) x 4
1 pail + 1 tank = 10
4 pails + 4 tanks = 10 x 4
4 pails + 4 tanks = 40 --- (3)
(1) - (3)
(5 pails + 4 tanks) - (4 pails + 4 tanks) = 45.8 - 40
5 pails + 4 tanks - 4 pails - 4 tanks = 5.8
5 pails - 4 pails + 4 tanks - 4 tanks = 5.8
1 pail = 5.8
Volume of 1 pail = 5.8 ℓ
(b)
Substitute 1 pail = 5.8 into (2).
1 pail + 1 tank = 10
5.8 + 1 tank = 10
1 tank = 10 - 5.8 = 4.2
Volume of 1 tank = 4.2 ℓ
(c)
Volume of 6 tanks
= 6 x 4.2
= 25.2 ℓ
(d)
Volume of 3 tanks and 5 pails
= 3 x 4.2 + 5 x 5.8
= 12.6 + 29
= 41.6 ℓ
Answer(s): (a) 5.8 ℓ; (b) 4.2 ℓ; (c) 25.2 ℓ; (d) 41.6 ℓ