3 pails and 2 containers can hold 28.8 litres of water.
1 pail and 1 container can hold 10 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 6 containers hold?
- How many litres of water can 6 containers and 3 pails?
(a)
3 pails + 2 containers = 28.8 --- (1)
1 pail + 1 container = 10 --- (2)
(2) x 2
1 pail + 1 container = 10
2 pails + 2 containers = 10 x 2
2 pails + 2 containers = 20 --- (3)
(1) - (3)
(3 pails + 2 containers) - (2 pails + 2 containers) = 28.8 - 20
3 pails + 2 containers - 2 pails - 2 containers = 8.8
3 pails - 2 pails + 2 containers - 2 containers = 8.8
1 pail = 8.8
Volume of 1 pail = 8.8 ℓ
(b)
Substitute 1 pail = 8.8 into (2).
1 pail + 1 container = 10
8.8 + 1 container = 10
1 container = 10 - 8.8 = 1.2
Volume of 1 container = 1.2 ℓ
(c)
Volume of 6 containers
= 6 x 1.2
= 7.2 ℓ
(d)
Volume of 6 containers and 3 pails
= 6 x 1.2 + 3 x 8.8
= 7.2 + 26.4
= 33.6 ℓ
Answer(s): (a) 8.8 ℓ; (b) 1.2 ℓ; (c) 7.2 ℓ; (d) 33.6 ℓ