7 pails and 6 containers can hold 81.2 litres of water.
1 pail and 1 container can hold 12.3 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 8 containers hold?
- How many litres of water can 6 containers and 7 pails?
(a)
7 pails + 6 containers = 81.2 --- (1)
1 pail + 1 container = 12.3 --- (2)
(2) x 6
1 pail + 1 container = 12.3
6 pails + 6 containers = 12.3 x 6
6 pails + 6 containers = 73.8 --- (3)
(1) - (3)
(7 pails + 6 containers) - (6 pails + 6 containers) = 81.2 - 73.8
7 pails + 6 containers - 6 pails - 6 containers = 7.4
7 pails - 6 pails + 6 containers - 6 containers = 7.4
1 pail = 7.4
Volume of 1 pail = 7.4 ℓ
(b)
Substitute 1 pail = 7.4 into (2).
1 pail + 1 container = 12.3
7.4 + 1 container = 12.3
1 container = 12.3 - 7.4 = 4.9
Volume of 1 container = 4.9 ℓ
(c)
Volume of 8 containers
= 8 x 4.9
= 39.2 ℓ
(d)
Volume of 6 containers and 7 pails
= 6 x 4.9 + 7 x 7.4
= 29.4 + 51.8
= 81.2 ℓ
Answer(s): (a) 7.4 ℓ; (b) 4.9 ℓ; (c) 39.2 ℓ; (d) 81.2 ℓ