8 pails and 7 containers can hold 45.3 litres of water.
1 pail and 1 container can hold 6.1 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 3 containers hold?
- How many litres of water can 8 containers and 8 pails?
(a)
8 pails + 7 containers = 45.3 --- (1)
1 pail + 1 container = 6.1 --- (2)
(2) x 7
1 pail + 1 container = 6.1
7 pails + 7 containers = 6.1 x 7
7 pails + 7 containers = 42.7 --- (3)
(1) - (3)
(8 pails + 7 containers) - (7 pails + 7 containers) = 45.3 - 42.7
8 pails + 7 containers - 7 pails - 7 containers = 2.6
8 pails - 7 pails + 7 containers - 7 containers = 2.6
1 pail = 2.6
Volume of 1 pail = 2.6 ℓ
(b)
Substitute 1 pail = 2.6 into (2).
1 pail + 1 container = 6.1
2.6 + 1 container = 6.1
1 container = 6.1 - 2.6 = 3.5
Volume of 1 container = 3.5 ℓ
(c)
Volume of 3 containers
= 3 x 3.5
= 10.5 ℓ
(d)
Volume of 8 containers and 8 pails
= 8 x 3.5 + 8 x 2.6
= 28 + 20.8
= 48.8 ℓ
Answer(s): (a) 2.6 ℓ; (b) 3.5 ℓ; (c) 10.5 ℓ; (d) 48.8 ℓ