3 pails and 2 containers can hold 17.6 litres of water.
1 pail and 1 container can hold 7.1 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 6 containers hold?
- How many litres of water can 3 containers and 3 pails?
(a)
3 pails + 2 containers = 17.6 --- (1)
1 pail + 1 container = 7.1 --- (2)
(2) x 2
1 pail + 1 container = 7.1
2 pails + 2 containers = 7.1 x 2
2 pails + 2 containers = 14.2 --- (3)
(1) - (3)
(3 pails + 2 containers) - (2 pails + 2 containers) = 17.6 - 14.2
3 pails + 2 containers - 2 pails - 2 containers = 3.4
3 pails - 2 pails + 2 containers - 2 containers = 3.4
1 pail = 3.4
Volume of 1 pail = 3.4 ℓ
(b)
Substitute 1 pail = 3.4 into (2).
1 pail + 1 container = 7.1
3.4 + 1 container = 7.1
1 container = 7.1 - 3.4 = 3.7
Volume of 1 container = 3.7 ℓ
(c)
Volume of 6 containers
= 6 x 3.7
= 22.2 ℓ
(d)
Volume of 3 containers and 3 pails
= 3 x 3.7 + 3 x 3.4
= 11.1 + 10.2
= 21.3 ℓ
Answer(s): (a) 3.4 ℓ; (b) 3.7 ℓ; (c) 22.2 ℓ; (d) 21.3 ℓ