7 pails and 6 tanks can hold 65.9 litres of water.
1 pail and 1 tank can hold 10.1 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 5 tanks hold?
- How many litres of water can 8 tanks and 7 pails?
(a)
7 pails + 6 tanks = 65.9 --- (1)
1 pail + 1 tank = 10.1 --- (2)
(2) x 6
1 pail + 1 tank = 10.1
6 pails + 6 tanks = 10.1 x 6
6 pails + 6 tanks = 60.6 --- (3)
(1) - (3)
(7 pails + 6 tanks) - (6 pails + 6 tanks) = 65.9 - 60.6
7 pails + 6 tanks - 6 pails - 6 tanks = 5.3
7 pails - 6 pails + 6 tanks - 6 tanks = 5.3
1 pail = 5.3
Volume of 1 pail = 5.3 ℓ
(b)
Substitute 1 pail = 5.3 into (2).
1 pail + 1 tank = 10.1
5.3 + 1 tank = 10.1
1 tank = 10.1 - 5.3 = 4.8
Volume of 1 tank = 4.8 ℓ
(c)
Volume of 5 tanks
= 5 x 4.8
= 24 ℓ
(d)
Volume of 8 tanks and 7 pails
= 8 x 4.8 + 7 x 5.3
= 38.4 + 37.1
= 75.5 ℓ
Answer(s): (a) 5.3 ℓ; (b) 4.8 ℓ; (c) 24 ℓ; (d) 75.5 ℓ