4 tanks and 3 pails can hold 30.8 litres of water.
1 tank and 1 pail can hold 8.9 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 6 pails hold?
- How many litres of water can 5 pails and 4 tanks?
(a)
4 tanks + 3 pails = 30.8 --- (1)
1 tank + 1 pail = 8.9 --- (2)
(2) x 3
1 tank + 1 pail = 8.9
3 tanks + 3 pails = 8.9 x 3
3 tanks + 3 pails = 26.7 --- (3)
(1) - (3)
(4 tanks + 3 pails) - (3 tanks + 3 pails) = 30.8 - 26.7
4 tanks + 3 pails - 3 tanks - 3 pails = 4.1
4 tanks - 3 tanks + 3 pails - 3 pails = 4.1
1 tank = 4.1
Volume of 1 tank = 4.1 ℓ
(b)
Substitute 1 tank = 4.1 into (2).
1 tank + 1 pail = 8.9
4.1 + 1 pail = 8.9
1 pail = 8.9 - 4.1 = 4.8
Volume of 1 pail = 4.8 ℓ
(c)
Volume of 6 pails
= 6 x 4.8
= 28.8 ℓ
(d)
Volume of 5 pails and 4 tanks
= 5 x 4.8 + 4 x 4.1
= 24 + 16.4
= 40.4 ℓ
Answer(s): (a) 4.1 ℓ; (b) 4.8 ℓ; (c) 28.8 ℓ; (d) 40.4 ℓ