6 pails and 5 tanks can hold 33.8 litres of water.
1 pail and 1 tank can hold 6.2 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 6 tanks and 6 pails?
(a)
6 pails + 5 tanks = 33.8 --- (1)
1 pail + 1 tank = 6.2 --- (2)
(2) x 5
1 pail + 1 tank = 6.2
5 pails + 5 tanks = 6.2 x 5
5 pails + 5 tanks = 31 --- (3)
(1) - (3)
(6 pails + 5 tanks) - (5 pails + 5 tanks) = 33.8 - 31
6 pails + 5 tanks - 5 pails - 5 tanks = 2.8
6 pails - 5 pails + 5 tanks - 5 tanks = 2.8
1 pail = 2.8
Volume of 1 pail = 2.8 ℓ
(b)
Substitute 1 pail = 2.8 into (2).
1 pail + 1 tank = 6.2
2.8 + 1 tank = 6.2
1 tank = 6.2 - 2.8 = 3.4
Volume of 1 tank = 3.4 ℓ
(c)
Volume of 8 tanks
= 8 x 3.4
= 27.2 ℓ
(d)
Volume of 6 tanks and 6 pails
= 6 x 3.4 + 6 x 2.8
= 20.4 + 16.8
= 37.2 ℓ
Answer(s): (a) 2.8 ℓ; (b) 3.4 ℓ; (c) 27.2 ℓ; (d) 37.2 ℓ