6 pails and 5 tanks can hold 25.9 litres of water.
1 pail and 1 tank can hold 4.6 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 7 tanks hold?
- How many litres of water can 4 tanks and 6 pails?
(a)
6 pails + 5 tanks = 25.9 --- (1)
1 pail + 1 tank = 4.6 --- (2)
(2) x 5
1 pail + 1 tank = 4.6
5 pails + 5 tanks = 4.6 x 5
5 pails + 5 tanks = 23 --- (3)
(1) - (3)
(6 pails + 5 tanks) - (5 pails + 5 tanks) = 25.9 - 23
6 pails + 5 tanks - 5 pails - 5 tanks = 2.9
6 pails - 5 pails + 5 tanks - 5 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 = 4.6
2.9 + 1 tank = 4.6
1 tank = 4.6 - 2.9 = 1.7
Volume of 1 tank = 1.7 ℓ
(c)
Volume of 7 tanks
= 7 x 1.7
= 11.9 ℓ
(d)
Volume of 4 tanks and 6 pails
= 4 x 1.7 + 6 x 2.9
= 6.8 + 17.4
= 24.2 ℓ
Answer(s): (a) 2.9 ℓ; (b) 1.7 ℓ; (c) 11.9 ℓ; (d) 24.2 ℓ