8 pails and 7 containers can hold 64.4 litres of water.
1 pail and 1 container can hold 8.6 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 9 containers hold?
- How many litres of water can 9 containers and 8 pails?
(a)
8 pails + 7 containers = 64.4 --- (1)
1 pail + 1 container = 8.6 --- (2)
(2) x 7
1 pail + 1 container = 8.6
7 pails + 7 containers = 8.6 x 7
7 pails + 7 containers = 60.2 --- (3)
(1) - (3)
(8 pails + 7 containers) - (7 pails + 7 containers) = 64.4 - 60.2
8 pails + 7 containers - 7 pails - 7 containers = 4.2
8 pails - 7 pails + 7 containers - 7 containers = 4.2
1 pail = 4.2
Volume of 1 pail = 4.2 ℓ
(b)
Substitute 1 pail = 4.2 into (2).
1 pail + 1 container = 8.6
4.2 + 1 container = 8.6
1 container = 8.6 - 4.2 = 4.4
Volume of 1 container = 4.4 ℓ
(c)
Volume of 9 containers
= 9 x 4.4
= 39.6 ℓ
(d)
Volume of 9 containers and 8 pails
= 9 x 4.4 + 8 x 4.2
= 39.6 + 33.6
= 73.2 ℓ
Answer(s): (a) 4.2 ℓ; (b) 4.4 ℓ; (c) 39.6 ℓ; (d) 73.2 ℓ