4 tanks and 3 pails can hold 30.1 litres of water.
1 tank and 1 pail can hold 8.5 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 3 pails and 4 tanks?
(a)
4 tanks + 3 pails = 30.1 --- (1)
1 tank + 1 pail = 8.5 --- (2)
(2) x 3
1 tank + 1 pail = 8.5
3 tanks + 3 pails = 8.5 x 3
3 tanks + 3 pails = 25.5 --- (3)
(1) - (3)
(4 tanks + 3 pails) - (3 tanks + 3 pails) = 30.1 - 25.5
4 tanks + 3 pails - 3 tanks - 3 pails = 4.6
4 tanks - 3 tanks + 3 pails - 3 pails = 4.6
1 tank = 4.6
Volume of 1 tank = 4.6 ℓ
(b)
Substitute 1 tank = 4.6 into (2).
1 tank + 1 pail = 8.5
4.6 + 1 pail = 8.5
1 pail = 8.5 - 4.6 = 3.9
Volume of 1 pail = 3.9 ℓ
(c)
Volume of 6 pails
= 6 x 3.9
= 23.4 ℓ
(d)
Volume of 3 pails and 4 tanks
= 3 x 3.9 + 4 x 4.6
= 11.7 + 18.4
= 30.1 ℓ
Answer(s): (a) 4.6 ℓ; (b) 3.9 ℓ; (c) 23.4 ℓ; (d) 30.1 ℓ