6 pails and 5 containers can hold 43.3 litres of water.
1 pail and 1 container can hold 8 litres of water.
- How many litres of water can 1 pail hold?
- How many litres of water can 1 container hold?
- How many litres of water can 9 containers hold?
- How many litres of water can 9 containers and 6 pails?
(a)
6 pails + 5 containers = 43.3 --- (1)
1 pail + 1 container = 8 --- (2)
(2) x 5
1 pail + 1 container = 8
5 pails + 5 containers = 8 x 5
5 pails + 5 containers = 40 --- (3)
(1) - (3)
(6 pails + 5 containers) - (5 pails + 5 containers) = 43.3 - 40
6 pails + 5 containers - 5 pails - 5 containers = 3.3
6 pails - 5 pails + 5 containers - 5 containers = 3.3
1 pail = 3.3
Volume of 1 pail = 3.3 ℓ
(b)
Substitute 1 pail = 3.3 into (2).
1 pail + 1 container = 8
3.3 + 1 container = 8
1 container = 8 - 3.3 = 4.7
Volume of 1 container = 4.7 ℓ
(c)
Volume of 9 containers
= 9 x 4.7
= 42.3 ℓ
(d)
Volume of 9 containers and 6 pails
= 9 x 4.7 + 6 x 3.3
= 42.3 + 19.8
= 62.1 ℓ
Answer(s): (a) 3.3 ℓ; (b) 4.7 ℓ; (c) 42.3 ℓ; (d) 62.1 ℓ