8 pails and 7 tanks can hold 81.4 litres of water.
1 pail and 1 tank can hold 10.4 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 9 tanks hold?
- How many litres of water can 4 tanks and 8 pails?
(a)
8 pails + 7 tanks = 81.4 --- (1)
1 pail + 1 tank = 10.4 --- (2)
(2) x 7
1 pail + 1 tank = 10.4
7 pails + 7 tanks = 10.4 x 7
7 pails + 7 tanks = 72.8 --- (3)
(1) - (3)
(8 pails + 7 tanks) - (7 pails + 7 tanks) = 81.4 - 72.8
8 pails + 7 tanks - 7 pails - 7 tanks = 8.6
8 pails - 7 pails + 7 tanks - 7 tanks = 8.6
1 pail = 8.6
Volume of 1 pail = 8.6 ℓ
(b)
Substitute 1 pail = 8.6 into (2).
1 pail + 1 tank = 10.4
8.6 + 1 tank = 10.4
1 tank = 10.4 - 8.6 = 1.8
Volume of 1 tank = 1.8 ℓ
(c)
Volume of 9 tanks
= 9 x 1.8
= 16.2 ℓ
(d)
Volume of 4 tanks and 8 pails
= 4 x 1.8 + 8 x 8.6
= 7.2 + 68.8
= 76 ℓ
Answer(s): (a) 8.6 ℓ; (b) 1.8 ℓ; (c) 16.2 ℓ; (d) 76 ℓ