6 containers and 5 pails can hold 53.2 litres of water.
1 container and 1 pail can hold 9.3 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 3 pails hold?
- How many litres of water can 8 pails and 6 containers?
(a)
6 containers + 5 pails = 53.2 --- (1)
1 container + 1 pail = 9.3 --- (2)
(2) x 5
1 container + 1 pail = 9.3
5 containers + 5 pails = 9.3 x 5
5 containers + 5 pails = 46.5 --- (3)
(1) - (3)
(6 containers + 5 pails) - (5 containers + 5 pails) = 53.2 - 46.5
6 containers + 5 pails - 5 containers - 5 pails = 6.7
6 containers - 5 containers + 5 pails - 5 pails = 6.7
1 container = 6.7
Volume of 1 container = 6.7 ℓ
(b)
Substitute 1 container = 6.7 into (2).
1 container + 1 pail = 9.3
6.7 + 1 pail = 9.3
1 pail = 9.3 - 6.7 = 2.6
Volume of 1 pail = 2.6 ℓ
(c)
Volume of 3 pails
= 3 x 2.6
= 7.8 ℓ
(d)
Volume of 8 pails and 6 containers
= 8 x 2.6 + 6 x 6.7
= 20.8 + 40.2
= 61 ℓ
Answer(s): (a) 6.7 ℓ; (b) 2.6 ℓ; (c) 7.8 ℓ; (d) 61 ℓ