6 pails and 5 containers can hold 48.2 litres of water.
1 pail and 1 container can hold 8.6 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 8 containers and 6 pails?
(a)
6 pails + 5 containers = 48.2 --- (1)
1 pail + 1 container = 8.6 --- (2)
(2) x 5
1 pail + 1 container = 8.6
5 pails + 5 containers = 8.6 x 5
5 pails + 5 containers = 43 --- (3)
(1) - (3)
(6 pails + 5 containers) - (5 pails + 5 containers) = 48.2 - 43
6 pails + 5 containers - 5 pails - 5 containers = 5.2
6 pails - 5 pails + 5 containers - 5 containers = 5.2
1 pail = 5.2
Volume of 1 pail = 5.2 ℓ
(b)
Substitute 1 pail = 5.2 into (2).
1 pail + 1 container = 8.6
5.2 + 1 container = 8.6
1 container = 8.6 - 5.2 = 3.4
Volume of 1 container = 3.4 ℓ
(c)
Volume of 9 containers
= 9 x 3.4
= 30.6 ℓ
(d)
Volume of 8 containers and 6 pails
= 8 x 3.4 + 6 x 5.2
= 27.2 + 31.2
= 58.4 ℓ
Answer(s): (a) 5.2 ℓ; (b) 3.4 ℓ; (c) 30.6 ℓ; (d) 58.4 ℓ