4 pails and 3 tanks can hold 19.7 litres of water.
1 pail and 1 tank can hold 5.6 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 4 tanks hold?
- How many litres of water can 3 tanks and 4 pails?
(a)
4 pails + 3 tanks = 19.7 --- (1)
1 pail + 1 tank = 5.6 --- (2)
(2) x 3
1 pail + 1 tank = 5.6
3 pails + 3 tanks = 5.6 x 3
3 pails + 3 tanks = 16.8 --- (3)
(1) - (3)
(4 pails + 3 tanks) - (3 pails + 3 tanks) = 19.7 - 16.8
4 pails + 3 tanks - 3 pails - 3 tanks = 2.9
4 pails - 3 pails + 3 tanks - 3 tanks = 2.9
1 pail = 2.9
Volume of 1 pail = 2.9 ℓ
(b)
Substitute 1 pail = 2.9 into (2).
1 pail + 1 tank = 5.6
2.9 + 1 tank = 5.6
1 tank = 5.6 - 2.9 = 2.7
Volume of 1 tank = 2.7 ℓ
(c)
Volume of 4 tanks
= 4 x 2.7
= 10.8 ℓ
(d)
Volume of 3 tanks and 4 pails
= 3 x 2.7 + 4 x 2.9
= 8.1 + 11.6
= 19.7 ℓ
Answer(s): (a) 2.9 ℓ; (b) 2.7 ℓ; (c) 10.8 ℓ; (d) 19.7 ℓ