4 pails and 3 containers can hold 21.2 litres of water.
1 pail and 1 container can hold 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 4 containers hold?
- How many litres of water can 7 containers and 4 pails?
(a)
4 pails + 3 containers = 21.2 --- (1)
1 pail + 1 container = 6 --- (2)
(2) x 3
1 pail + 1 container = 6
3 pails + 3 containers = 6 x 3
3 pails + 3 containers = 18 --- (3)
(1) - (3)
(4 pails + 3 containers) - (3 pails + 3 containers) = 21.2 - 18
4 pails + 3 containers - 3 pails - 3 containers = 3.2
4 pails - 3 pails + 3 containers - 3 containers = 3.2
1 pail = 3.2
Volume of 1 pail = 3.2 ℓ
(b)
Substitute 1 pail = 3.2 into (2).
1 pail + 1 container = 6
3.2 + 1 container = 6
1 container = 6 - 3.2 = 2.8
Volume of 1 container = 2.8 ℓ
(c)
Volume of 4 containers
= 4 x 2.8
= 11.2 ℓ
(d)
Volume of 7 containers and 4 pails
= 7 x 2.8 + 4 x 3.2
= 19.6 + 12.8
= 32.4 ℓ
Answer(s): (a) 3.2 ℓ; (b) 2.8 ℓ; (c) 11.2 ℓ; (d) 32.4 ℓ