6 containers and 5 pails can hold 40.7 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 5 pails hold?
- How many litres of water can 8 pails and 6 containers?
(a)
6 containers + 5 pails = 40.7 --- (1)
1 container + 1 pail = 7.5 --- (2)
(2) x 5
1 container + 1 pail = 7.5
5 containers + 5 pails = 7.5 x 5
5 containers + 5 pails = 37.5 --- (3)
(1) - (3)
(6 containers + 5 pails) - (5 containers + 5 pails) = 40.7 - 37.5
6 containers + 5 pails - 5 containers - 5 pails = 3.2
6 containers - 5 containers + 5 pails - 5 pails = 3.2
1 container = 3.2
Volume of 1 container = 3.2 ℓ
(b)
Substitute 1 container = 3.2 into (2).
1 container + 1 pail = 7.5
3.2 + 1 pail = 7.5
1 pail = 7.5 - 3.2 = 4.3
Volume of 1 pail = 4.3 ℓ
(c)
Volume of 5 pails
= 5 x 4.3
= 21.5 ℓ
(d)
Volume of 8 pails and 6 containers
= 8 x 4.3 + 6 x 3.2
= 34.4 + 19.2
= 53.6 ℓ
Answer(s): (a) 3.2 ℓ; (b) 4.3 ℓ; (c) 21.5 ℓ; (d) 53.6 ℓ