4 containers and 3 pails can hold 23.6 litres of water.
1 container and 1 pail can hold 7.1 litres of water.
- How many litres of water can 1 container hold?
- How many litres of water can 1 pail hold?
- How many litres of water can 4 pails hold?
- How many litres of water can 8 pails and 4 containers?
(a)
4 containers + 3 pails = 23.6 --- (1)
1 container + 1 pail = 7.1 --- (2)
(2) x 3
1 container + 1 pail = 7.1
3 containers + 3 pails = 7.1 x 3
3 containers + 3 pails = 21.3 --- (3)
(1) - (3)
(4 containers + 3 pails) - (3 containers + 3 pails) = 23.6 - 21.3
4 containers + 3 pails - 3 containers - 3 pails = 2.3
4 containers - 3 containers + 3 pails - 3 pails = 2.3
1 container = 2.3
Volume of 1 container = 2.3 ℓ
(b)
Substitute 1 container = 2.3 into (2).
1 container + 1 pail = 7.1
2.3 + 1 pail = 7.1
1 pail = 7.1 - 2.3 = 4.8
Volume of 1 pail = 4.8 ℓ
(c)
Volume of 4 pails
= 4 x 4.8
= 19.2 ℓ
(d)
Volume of 8 pails and 4 containers
= 8 x 4.8 + 4 x 2.3
= 38.4 + 9.2
= 47.6 ℓ
Answer(s): (a) 2.3 ℓ; (b) 4.8 ℓ; (c) 19.2 ℓ; (d) 47.6 ℓ