7 pails and 6 containers can hold 56.3 litres of water.
1 pail and 1 container can hold 8.4 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 8 containers hold?
- How many litres of water can 3 containers and 7 pails?
(a)
7 pails + 6 containers = 56.3 --- (1)
1 pail + 1 container = 8.4 --- (2)
(2) x 6
1 pail + 1 container = 8.4
6 pails + 6 containers = 8.4 x 6
6 pails + 6 containers = 50.4 --- (3)
(1) - (3)
(7 pails + 6 containers) - (6 pails + 6 containers) = 56.3 - 50.4
7 pails + 6 containers - 6 pails - 6 containers = 5.9
7 pails - 6 pails + 6 containers - 6 containers = 5.9
1 pail = 5.9
Volume of 1 pail = 5.9 ℓ
(b)
Substitute 1 pail = 5.9 into (2).
1 pail + 1 container = 8.4
5.9 + 1 container = 8.4
1 container = 8.4 - 5.9 = 2.5
Volume of 1 container = 2.5 ℓ
(c)
Volume of 8 containers
= 8 x 2.5
= 20 ℓ
(d)
Volume of 3 containers and 7 pails
= 3 x 2.5 + 7 x 5.9
= 7.5 + 41.3
= 48.8 ℓ
Answer(s): (a) 5.9 ℓ; (b) 2.5 ℓ; (c) 20 ℓ; (d) 48.8 ℓ