6 tanks and 5 pails can hold 44.8 litres of water.
1 tank and 1 pail can hold 7.9 litres of water.
- How many litres of water can 1 tank hold?
- How many litres of water can 1 pail hold?
- How many litres of water can 9 pails hold?
- How many litres of water can 8 pails and 6 tanks?
(a)
6 tanks + 5 pails = 44.8 --- (1)
1 tank + 1 pail = 7.9 --- (2)
(2) x 5
1 tank + 1 pail = 7.9
5 tanks + 5 pails = 7.9 x 5
5 tanks + 5 pails = 39.5 --- (3)
(1) - (3)
(6 tanks + 5 pails) - (5 tanks + 5 pails) = 44.8 - 39.5
6 tanks + 5 pails - 5 tanks - 5 pails = 5.3
6 tanks - 5 tanks + 5 pails - 5 pails = 5.3
1 tank = 5.3
Volume of 1 tank = 5.3 ℓ
(b)
Substitute 1 tank = 5.3 into (2).
1 tank + 1 pail = 7.9
5.3 + 1 pail = 7.9
1 pail = 7.9 - 5.3 = 2.6
Volume of 1 pail = 2.6 ℓ
(c)
Volume of 9 pails
= 9 x 2.6
= 23.4 ℓ
(d)
Volume of 8 pails and 6 tanks
= 8 x 2.6 + 6 x 5.3
= 20.8 + 31.8
= 52.6 ℓ
Answer(s): (a) 5.3 ℓ; (b) 2.6 ℓ; (c) 23.4 ℓ; (d) 52.6 ℓ