3 pails and 2 containers can hold 16.9 litres of water.
1 pail and 1 container can hold 6.4 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 3 containers hold?
- How many litres of water can 4 containers and 3 pails?
(a)
3 pails + 2 containers = 16.9 --- (1)
1 pail + 1 container = 6.4 --- (2)
(2) x 2
1 pail + 1 container = 6.4
2 pails + 2 containers = 6.4 x 2
2 pails + 2 containers = 12.8 --- (3)
(1) - (3)
(3 pails + 2 containers) - (2 pails + 2 containers) = 16.9 - 12.8
3 pails + 2 containers - 2 pails - 2 containers = 4.1
3 pails - 2 pails + 2 containers - 2 containers = 4.1
1 pail = 4.1
Volume of 1 pail = 4.1 ℓ
(b)
Substitute 1 pail = 4.1 into (2).
1 pail + 1 container = 6.4
4.1 + 1 container = 6.4
1 container = 6.4 - 4.1 = 2.3
Volume of 1 container = 2.3 ℓ
(c)
Volume of 3 containers
= 3 x 2.3
= 6.9 ℓ
(d)
Volume of 4 containers and 3 pails
= 4 x 2.3 + 3 x 4.1
= 9.2 + 12.3
= 21.5 ℓ
Answer(s): (a) 4.1 ℓ; (b) 2.3 ℓ; (c) 6.9 ℓ; (d) 21.5 ℓ