3 tanks and 2 pails can hold 35.7 litres of water.
1 tank and 1 pail can hold 13.4 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 5 pails hold?
- How many litres of water can 3 pails and 3 tanks?
(a)
3 tanks + 2 pails = 35.7 --- (1)
1 tank + 1 pail = 13.4 --- (2)
(2) x 2
1 tank + 1 pail = 13.4
2 tanks + 2 pails = 13.4 x 2
2 tanks + 2 pails = 26.8 --- (3)
(1) - (3)
(3 tanks + 2 pails) - (2 tanks + 2 pails) = 35.7 - 26.8
3 tanks + 2 pails - 2 tanks - 2 pails = 8.9
3 tanks - 2 tanks + 2 pails - 2 pails = 8.9
1 tank = 8.9
Volume of 1 tank = 8.9 ℓ
(b)
Substitute 1 tank = 8.9 into (2).
1 tank + 1 pail = 13.4
8.9 + 1 pail = 13.4
1 pail = 13.4 - 8.9 = 4.5
Volume of 1 pail = 4.5 ℓ
(c)
Volume of 5 pails
= 5 x 4.5
= 22.5 ℓ
(d)
Volume of 3 pails and 3 tanks
= 3 x 4.5 + 3 x 8.9
= 13.5 + 26.7
= 40.2 ℓ
Answer(s): (a) 8.9 ℓ; (b) 4.5 ℓ; (c) 22.5 ℓ; (d) 40.2 ℓ