6 pails and 5 tanks can hold 31.6 litres of water.
1 pail and 1 tank can hold 5.7 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 6 pails?
(a)
6 pails + 5 tanks = 31.6 --- (1)
1 pail + 1 tank = 5.7 --- (2)
(2) x 5
1 pail + 1 tank = 5.7
5 pails + 5 tanks = 5.7 x 5
5 pails + 5 tanks = 28.5 --- (3)
(1) - (3)
(6 pails + 5 tanks) - (5 pails + 5 tanks) = 31.6 - 28.5
6 pails + 5 tanks - 5 pails - 5 tanks = 3.1
6 pails - 5 pails + 5 tanks - 5 tanks = 3.1
1 pail = 3.1
Volume of 1 pail = 3.1 ℓ
(b)
Substitute 1 pail = 3.1 into (2).
1 pail + 1 tank = 5.7
3.1 + 1 tank = 5.7
1 tank = 5.7 - 3.1 = 2.6
Volume of 1 tank = 2.6 ℓ
(c)
Volume of 6 tanks
= 6 x 2.6
= 15.6 ℓ
(d)
Volume of 3 tanks and 6 pails
= 3 x 2.6 + 6 x 3.1
= 7.8 + 18.6
= 26.4 ℓ
Answer(s): (a) 3.1 ℓ; (b) 2.6 ℓ; (c) 15.6 ℓ; (d) 26.4 ℓ