5 pails and 4 containers can hold 44.8 litres of water.
1 pail and 1 container can hold 9.8 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 5 containers hold?
- How many litres of water can 7 containers and 5 pails?
(a)
5 pails + 4 containers = 44.8 --- (1)
1 pail + 1 container = 9.8 --- (2)
(2) x 4
1 pail + 1 container = 9.8
4 pails + 4 containers = 9.8 x 4
4 pails + 4 containers = 39.2 --- (3)
(1) - (3)
(5 pails + 4 containers) - (4 pails + 4 containers) = 44.8 - 39.2
5 pails + 4 containers - 4 pails - 4 containers = 5.6
5 pails - 4 pails + 4 containers - 4 containers = 5.6
1 pail = 5.6
Volume of 1 pail = 5.6 ℓ
(b)
Substitute 1 pail = 5.6 into (2).
1 pail + 1 container = 9.8
5.6 + 1 container = 9.8
1 container = 9.8 - 5.6 = 4.2
Volume of 1 container = 4.2 ℓ
(c)
Volume of 5 containers
= 5 x 4.2
= 21 ℓ
(d)
Volume of 7 containers and 5 pails
= 7 x 4.2 + 5 x 5.6
= 29.4 + 28
= 57.4 ℓ
Answer(s): (a) 5.6 ℓ; (b) 4.2 ℓ; (c) 21 ℓ; (d) 57.4 ℓ