6 pails and 5 tanks can hold 47.7 litres of water.
1 pail and 1 tank can hold 8.4 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 5 tanks hold?
- How many litres of water can 4 tanks and 6 pails?
(a)
6 pails + 5 tanks = 47.7 --- (1)
1 pail + 1 tank = 8.4 --- (2)
(2) x 5
1 pail + 1 tank = 8.4
5 pails + 5 tanks = 8.4 x 5
5 pails + 5 tanks = 42 --- (3)
(1) - (3)
(6 pails + 5 tanks) - (5 pails + 5 tanks) = 47.7 - 42
6 pails + 5 tanks - 5 pails - 5 tanks = 5.7
6 pails - 5 pails + 5 tanks - 5 tanks = 5.7
1 pail = 5.7
Volume of 1 pail = 5.7 ℓ
(b)
Substitute 1 pail = 5.7 into (2).
1 pail + 1 tank = 8.4
5.7 + 1 tank = 8.4
1 tank = 8.4 - 5.7 = 2.7
Volume of 1 tank = 2.7 ℓ
(c)
Volume of 5 tanks
= 5 x 2.7
= 13.5 ℓ
(d)
Volume of 4 tanks and 6 pails
= 4 x 2.7 + 6 x 5.7
= 10.8 + 34.2
= 45 ℓ
Answer(s): (a) 5.7 ℓ; (b) 2.7 ℓ; (c) 13.5 ℓ; (d) 45 ℓ