5 pails and 4 tanks can hold 44.8 litres of water.
1 pail and 1 tank can hold 9.5 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 5 tanks hold?
- How many litres of water can 3 tanks and 5 pails?
(a)
5 pails + 4 tanks = 44.8 --- (1)
1 pail + 1 tank = 9.5 --- (2)
(2) x 4
1 pail + 1 tank = 9.5
4 pails + 4 tanks = 9.5 x 4
4 pails + 4 tanks = 38 --- (3)
(1) - (3)
(5 pails + 4 tanks) - (4 pails + 4 tanks) = 44.8 - 38
5 pails + 4 tanks - 4 pails - 4 tanks = 6.8
5 pails - 4 pails + 4 tanks - 4 tanks = 6.8
1 pail = 6.8
Volume of 1 pail = 6.8 ℓ
(b)
Substitute 1 pail = 6.8 into (2).
1 pail + 1 tank = 9.5
6.8 + 1 tank = 9.5
1 tank = 9.5 - 6.8 = 2.7
Volume of 1 tank = 2.7 ℓ
(c)
Volume of 5 tanks
= 5 x 2.7
= 13.5 ℓ
(d)
Volume of 3 tanks and 5 pails
= 3 x 2.7 + 5 x 6.8
= 8.1 + 34
= 42.1 ℓ
Answer(s): (a) 6.8 ℓ; (b) 2.7 ℓ; (c) 13.5 ℓ; (d) 42.1 ℓ