9 containers and 8 pails can hold 65.1 litres of water.
1 container and 1 pail can hold 7.5 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 9 pails and 9 containers?
(a)
9 containers + 8 pails = 65.1 --- (1)
1 container + 1 pail = 7.5 --- (2)
(2) x 8
1 container + 1 pail = 7.5
8 containers + 8 pails = 7.5 x 8
8 containers + 8 pails = 60 --- (3)
(1) - (3)
(9 containers + 8 pails) - (8 containers + 8 pails) = 65.1 - 60
9 containers + 8 pails - 8 containers - 8 pails = 5.1
9 containers - 8 containers + 8 pails - 8 pails = 5.1
1 container = 5.1
Volume of 1 container = 5.1 ℓ
(b)
Substitute 1 container = 5.1 into (2).
1 container + 1 pail = 7.5
5.1 + 1 pail = 7.5
1 pail = 7.5 - 5.1 = 2.4
Volume of 1 pail = 2.4 ℓ
(c)
Volume of 9 pails
= 9 x 2.4
= 21.6 ℓ
(d)
Volume of 9 pails and 9 containers
= 9 x 2.4 + 9 x 5.1
= 21.6 + 45.9
= 67.5 ℓ
Answer(s): (a) 5.1 ℓ; (b) 2.4 ℓ; (c) 21.6 ℓ; (d) 67.5 ℓ