4 tanks and 3 pails can hold 27.4 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 8 pails hold?
- How many litres of water can 8 pails and 4 tanks?
(a)
4 tanks + 3 pails = 27.4 --- (1)
1 tank + 1 pail = 7.9 --- (2)
(2) x 3
1 tank + 1 pail = 7.9
3 tanks + 3 pails = 7.9 x 3
3 tanks + 3 pails = 23.7 --- (3)
(1) - (3)
(4 tanks + 3 pails) - (3 tanks + 3 pails) = 27.4 - 23.7
4 tanks + 3 pails - 3 tanks - 3 pails = 3.7
4 tanks - 3 tanks + 3 pails - 3 pails = 3.7
1 tank = 3.7
Volume of 1 tank = 3.7 ℓ
(b)
Substitute 1 tank = 3.7 into (2).
1 tank + 1 pail = 7.9
3.7 + 1 pail = 7.9
1 pail = 7.9 - 3.7 = 4.2
Volume of 1 pail = 4.2 ℓ
(c)
Volume of 8 pails
= 8 x 4.2
= 33.6 ℓ
(d)
Volume of 8 pails and 4 tanks
= 8 x 4.2 + 4 x 3.7
= 33.6 + 14.8
= 48.4 ℓ
Answer(s): (a) 3.7 ℓ; (b) 4.2 ℓ; (c) 33.6 ℓ; (d) 48.4 ℓ