4 tanks and 3 pails can hold 32.7 litres of water.
1 tank and 1 pail can hold 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 8 pails and 4 tanks?
(a)
4 tanks + 3 pails = 32.7 --- (1)
1 tank + 1 pail = 9 --- (2)
(2) x 3
1 tank + 1 pail = 9
3 tanks + 3 pails = 9 x 3
3 tanks + 3 pails = 27 --- (3)
(1) - (3)
(4 tanks + 3 pails) - (3 tanks + 3 pails) = 32.7 - 27
4 tanks + 3 pails - 3 tanks - 3 pails = 5.7
4 tanks - 3 tanks + 3 pails - 3 pails = 5.7
1 tank = 5.7
Volume of 1 tank = 5.7 ℓ
(b)
Substitute 1 tank = 5.7 into (2).
1 tank + 1 pail = 9
5.7 + 1 pail = 9
1 pail = 9 - 5.7 = 3.3
Volume of 1 pail = 3.3 ℓ
(c)
Volume of 6 pails
= 6 x 3.3
= 19.8 ℓ
(d)
Volume of 8 pails and 4 tanks
= 8 x 3.3 + 4 x 5.7
= 26.4 + 22.8
= 49.2 ℓ
Answer(s): (a) 5.7 ℓ; (b) 3.3 ℓ; (c) 19.8 ℓ; (d) 49.2 ℓ