6 pails and 5 containers can hold 57.3 litres of water.
1 pail and 1 container can hold 10.1 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 8 containers hold?
- How many litres of water can 8 containers and 6 pails?
(a)
6 pails + 5 containers = 57.3 --- (1)
1 pail + 1 container = 10.1 --- (2)
(2) x 5
1 pail + 1 container = 10.1
5 pails + 5 containers = 10.1 x 5
5 pails + 5 containers = 50.5 --- (3)
(1) - (3)
(6 pails + 5 containers) - (5 pails + 5 containers) = 57.3 - 50.5
6 pails + 5 containers - 5 pails - 5 containers = 6.8
6 pails - 5 pails + 5 containers - 5 containers = 6.8
1 pail = 6.8
Volume of 1 pail = 6.8 ℓ
(b)
Substitute 1 pail = 6.8 into (2).
1 pail + 1 container = 10.1
6.8 + 1 container = 10.1
1 container = 10.1 - 6.8 = 3.3
Volume of 1 container = 3.3 ℓ
(c)
Volume of 8 containers
= 8 x 3.3
= 26.4 ℓ
(d)
Volume of 8 containers and 6 pails
= 8 x 3.3 + 6 x 6.8
= 26.4 + 40.8
= 67.2 ℓ
Answer(s): (a) 6.8 ℓ; (b) 3.3 ℓ; (c) 26.4 ℓ; (d) 67.2 ℓ