6 containers and 5 pails can hold 39.3 litres of water.
1 container and 1 pail can hold 7.2 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 9 pails hold?
- How many litres of water can 8 pails and 6 containers?
(a)
6 containers + 5 pails = 39.3 --- (1)
1 container + 1 pail = 7.2 --- (2)
(2) x 5
1 container + 1 pail = 7.2
5 containers + 5 pails = 7.2 x 5
5 containers + 5 pails = 36 --- (3)
(1) - (3)
(6 containers + 5 pails) - (5 containers + 5 pails) = 39.3 - 36
6 containers + 5 pails - 5 containers - 5 pails = 3.3
6 containers - 5 containers + 5 pails - 5 pails = 3.3
1 container = 3.3
Volume of 1 container = 3.3 ℓ
(b)
Substitute 1 container = 3.3 into (2).
1 container + 1 pail = 7.2
3.3 + 1 pail = 7.2
1 pail = 7.2 - 3.3 = 3.9
Volume of 1 pail = 3.9 ℓ
(c)
Volume of 9 pails
= 9 x 3.9
= 35.1 ℓ
(d)
Volume of 8 pails and 6 containers
= 8 x 3.9 + 6 x 3.3
= 31.2 + 19.8
= 51 ℓ
Answer(s): (a) 3.3 ℓ; (b) 3.9 ℓ; (c) 35.1 ℓ; (d) 51 ℓ