3 containers and 2 pails can hold 33.7 litres of water.
1 container and 1 pail can hold 12.5 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 6 pails hold?
- How many litres of water can 4 pails and 3 containers?
(a)
3 containers + 2 pails = 33.7 --- (1)
1 container + 1 pail = 12.5 --- (2)
(2) x 2
1 container + 1 pail = 12.5
2 containers + 2 pails = 12.5 x 2
2 containers + 2 pails = 25 --- (3)
(1) - (3)
(3 containers + 2 pails) - (2 containers + 2 pails) = 33.7 - 25
3 containers + 2 pails - 2 containers - 2 pails = 8.7
3 containers - 2 containers + 2 pails - 2 pails = 8.7
1 container = 8.7
Volume of 1 container = 8.7 ℓ
(b)
Substitute 1 container = 8.7 into (2).
1 container + 1 pail = 12.5
8.7 + 1 pail = 12.5
1 pail = 12.5 - 8.7 = 3.8
Volume of 1 pail = 3.8 ℓ
(c)
Volume of 6 pails
= 6 x 3.8
= 22.8 ℓ
(d)
Volume of 4 pails and 3 containers
= 4 x 3.8 + 3 x 8.7
= 15.2 + 26.1
= 41.3 ℓ
Answer(s): (a) 8.7 ℓ; (b) 3.8 ℓ; (c) 22.8 ℓ; (d) 41.3 ℓ