7 pails and 6 containers can hold 63.3 litres of water.
1 pail and 1 container can hold 9.6 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 6 containers hold?
- How many litres of water can 5 containers and 7 pails?
(a)
7 pails + 6 containers = 63.3 --- (1)
1 pail + 1 container = 9.6 --- (2)
(2) x 6
1 pail + 1 container = 9.6
6 pails + 6 containers = 9.6 x 6
6 pails + 6 containers = 57.6 --- (3)
(1) - (3)
(7 pails + 6 containers) - (6 pails + 6 containers) = 63.3 - 57.6
7 pails + 6 containers - 6 pails - 6 containers = 5.7
7 pails - 6 pails + 6 containers - 6 containers = 5.7
1 pail = 5.7
Volume of 1 pail = 5.7 ℓ
(b)
Substitute 1 pail = 5.7 into (2).
1 pail + 1 container = 9.6
5.7 + 1 container = 9.6
1 container = 9.6 - 5.7 = 3.9
Volume of 1 container = 3.9 ℓ
(c)
Volume of 6 containers
= 6 x 3.9
= 23.4 ℓ
(d)
Volume of 5 containers and 7 pails
= 5 x 3.9 + 7 x 5.7
= 19.5 + 39.9
= 59.4 ℓ
Answer(s): (a) 5.7 ℓ; (b) 3.9 ℓ; (c) 23.4 ℓ; (d) 59.4 ℓ