5 pails and 4 containers can hold 49.3 litres of water.
1 pail and 1 container can hold 10.8 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 4 containers hold?
- How many litres of water can 9 containers and 5 pails?
(a)
5 pails + 4 containers = 49.3 --- (1)
1 pail + 1 container = 10.8 --- (2)
(2) x 4
1 pail + 1 container = 10.8
4 pails + 4 containers = 10.8 x 4
4 pails + 4 containers = 43.2 --- (3)
(1) - (3)
(5 pails + 4 containers) - (4 pails + 4 containers) = 49.3 - 43.2
5 pails + 4 containers - 4 pails - 4 containers = 6.1
5 pails - 4 pails + 4 containers - 4 containers = 6.1
1 pail = 6.1
Volume of 1 pail = 6.1 ℓ
(b)
Substitute 1 pail = 6.1 into (2).
1 pail + 1 container = 10.8
6.1 + 1 container = 10.8
1 container = 10.8 - 6.1 = 4.7
Volume of 1 container = 4.7 ℓ
(c)
Volume of 4 containers
= 4 x 4.7
= 18.8 ℓ
(d)
Volume of 9 containers and 5 pails
= 9 x 4.7 + 5 x 6.1
= 42.3 + 30.5
= 72.8 ℓ
Answer(s): (a) 6.1 ℓ; (b) 4.7 ℓ; (c) 18.8 ℓ; (d) 72.8 ℓ