3 pails and 2 tanks can hold 29.6 litres of water.
1 pail and 1 tank can hold 11.5 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 3 tanks hold?
- How many litres of water can 3 tanks and 3 pails?
(a)
3 pails + 2 tanks = 29.6 --- (1)
1 pail + 1 tank = 11.5 --- (2)
(2) x 2
1 pail + 1 tank = 11.5
2 pails + 2 tanks = 11.5 x 2
2 pails + 2 tanks = 23 --- (3)
(1) - (3)
(3 pails + 2 tanks) - (2 pails + 2 tanks) = 29.6 - 23
3 pails + 2 tanks - 2 pails - 2 tanks = 6.6
3 pails - 2 pails + 2 tanks - 2 tanks = 6.6
1 pail = 6.6
Volume of 1 pail = 6.6 ℓ
(b)
Substitute 1 pail = 6.6 into (2).
1 pail + 1 tank = 11.5
6.6 + 1 tank = 11.5
1 tank = 11.5 - 6.6 = 4.9
Volume of 1 tank = 4.9 ℓ
(c)
Volume of 3 tanks
= 3 x 4.9
= 14.7 ℓ
(d)
Volume of 3 tanks and 3 pails
= 3 x 4.9 + 3 x 6.6
= 14.7 + 19.8
= 34.5 ℓ
Answer(s): (a) 6.6 ℓ; (b) 4.9 ℓ; (c) 14.7 ℓ; (d) 34.5 ℓ