4 pails and 3 containers can hold 43.9 litres of water.
1 pail and 1 container can hold 11.7 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 4 containers hold?
- How many litres of water can 8 containers and 4 pails?
(a)
4 pails + 3 containers = 43.9 --- (1)
1 pail + 1 container = 11.7 --- (2)
(2) x 3
1 pail + 1 container = 11.7
3 pails + 3 containers = 11.7 x 3
3 pails + 3 containers = 35.1 --- (3)
(1) - (3)
(4 pails + 3 containers) - (3 pails + 3 containers) = 43.9 - 35.1
4 pails + 3 containers - 3 pails - 3 containers = 8.8
4 pails - 3 pails + 3 containers - 3 containers = 8.8
1 pail = 8.8
Volume of 1 pail = 8.8 ℓ
(b)
Substitute 1 pail = 8.8 into (2).
1 pail + 1 container = 11.7
8.8 + 1 container = 11.7
1 container = 11.7 - 8.8 = 2.9
Volume of 1 container = 2.9 ℓ
(c)
Volume of 4 containers
= 4 x 2.9
= 11.6 ℓ
(d)
Volume of 8 containers and 4 pails
= 8 x 2.9 + 4 x 8.8
= 23.2 + 35.2
= 58.4 ℓ
Answer(s): (a) 8.8 ℓ; (b) 2.9 ℓ; (c) 11.6 ℓ; (d) 58.4 ℓ