4 pails and 3 tanks can hold 44.5 litres of water.
1 pail and 1 tank can hold 12.1 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 7 tanks hold?
- How many litres of water can 3 tanks and 4 pails?
(a)
4 pails + 3 tanks = 44.5 --- (1)
1 pail + 1 tank = 12.1 --- (2)
(2) x 3
1 pail + 1 tank = 12.1
3 pails + 3 tanks = 12.1 x 3
3 pails + 3 tanks = 36.3 --- (3)
(1) - (3)
(4 pails + 3 tanks) - (3 pails + 3 tanks) = 44.5 - 36.3
4 pails + 3 tanks - 3 pails - 3 tanks = 8.2
4 pails - 3 pails + 3 tanks - 3 tanks = 8.2
1 pail = 8.2
Volume of 1 pail = 8.2 ℓ
(b)
Substitute 1 pail = 8.2 into (2).
1 pail + 1 tank = 12.1
8.2 + 1 tank = 12.1
1 tank = 12.1 - 8.2 = 3.9
Volume of 1 tank = 3.9 ℓ
(c)
Volume of 7 tanks
= 7 x 3.9
= 27.3 ℓ
(d)
Volume of 3 tanks and 4 pails
= 3 x 3.9 + 4 x 8.2
= 11.7 + 32.8
= 44.5 ℓ
Answer(s): (a) 8.2 ℓ; (b) 3.9 ℓ; (c) 27.3 ℓ; (d) 44.5 ℓ