6 pails and 5 tanks can hold 20.2 litres of water.
1 pail and 1 tank can hold 3.6 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 8 tanks hold?
- How many litres of water can 7 tanks and 6 pails?
(a)
6 pails + 5 tanks = 20.2 --- (1)
1 pail + 1 tank = 3.6 --- (2)
(2) x 5
1 pail + 1 tank = 3.6
5 pails + 5 tanks = 3.6 x 5
5 pails + 5 tanks = 18 --- (3)
(1) - (3)
(6 pails + 5 tanks) - (5 pails + 5 tanks) = 20.2 - 18
6 pails + 5 tanks - 5 pails - 5 tanks = 2.2
6 pails - 5 pails + 5 tanks - 5 tanks = 2.2
1 pail = 2.2
Volume of 1 pail = 2.2 ℓ
(b)
Substitute 1 pail = 2.2 into (2).
1 pail + 1 tank = 3.6
2.2 + 1 tank = 3.6
1 tank = 3.6 - 2.2 = 1.4
Volume of 1 tank = 1.4 ℓ
(c)
Volume of 8 tanks
= 8 x 1.4
= 11.2 ℓ
(d)
Volume of 7 tanks and 6 pails
= 7 x 1.4 + 6 x 2.2
= 9.8 + 13.2
= 23 ℓ
Answer(s): (a) 2.2 ℓ; (b) 1.4 ℓ; (c) 11.2 ℓ; (d) 23 ℓ