5 pails and 4 tanks can hold 47.7 litres of water.
1 pail and 1 tank can hold 10.1 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 5 tanks and 5 pails?
(a)
5 pails + 4 tanks = 47.7 --- (1)
1 pail + 1 tank = 10.1 --- (2)
(2) x 4
1 pail + 1 tank = 10.1
4 pails + 4 tanks = 10.1 x 4
4 pails + 4 tanks = 40.4 --- (3)
(1) - (3)
(5 pails + 4 tanks) - (4 pails + 4 tanks) = 47.7 - 40.4
5 pails + 4 tanks - 4 pails - 4 tanks = 7.3
5 pails - 4 pails + 4 tanks - 4 tanks = 7.3
1 pail = 7.3
Volume of 1 pail = 7.3 ℓ
(b)
Substitute 1 pail = 7.3 into (2).
1 pail + 1 tank = 10.1
7.3 + 1 tank = 10.1
1 tank = 10.1 - 7.3 = 2.8
Volume of 1 tank = 2.8 ℓ
(c)
Volume of 4 tanks
= 4 x 2.8
= 11.2 ℓ
(d)
Volume of 5 tanks and 5 pails
= 5 x 2.8 + 5 x 7.3
= 14 + 36.5
= 50.5 ℓ
Answer(s): (a) 7.3 ℓ; (b) 2.8 ℓ; (c) 11.2 ℓ; (d) 50.5 ℓ