5 pails and 4 containers can hold 30.3 litres of water.
1 pail and 1 container can hold 6.9 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 7 containers and 5 pails?
(a)
5 pails + 4 containers = 30.3 --- (1)
1 pail + 1 container = 6.9 --- (2)
(2) x 4
1 pail + 1 container = 6.9
4 pails + 4 containers = 6.9 x 4
4 pails + 4 containers = 27.6 --- (3)
(1) - (3)
(5 pails + 4 containers) - (4 pails + 4 containers) = 30.3 - 27.6
5 pails + 4 containers - 4 pails - 4 containers = 2.7
5 pails - 4 pails + 4 containers - 4 containers = 2.7
1 pail = 2.7
Volume of 1 pail = 2.7 ℓ
(b)
Substitute 1 pail = 2.7 into (2).
1 pail + 1 container = 6.9
2.7 + 1 container = 6.9
1 container = 6.9 - 2.7 = 4.2
Volume of 1 container = 4.2 ℓ
(c)
Volume of 3 containers
= 3 x 4.2
= 12.6 ℓ
(d)
Volume of 7 containers and 5 pails
= 7 x 4.2 + 5 x 2.7
= 29.4 + 13.5
= 42.9 ℓ
Answer(s): (a) 2.7 ℓ; (b) 4.2 ℓ; (c) 12.6 ℓ; (d) 42.9 ℓ