4 pails and 3 containers can hold 41.9 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 5 containers hold?
- How many litres of water can 8 containers and 4 pails?
(a)
4 pails + 3 containers = 41.9 --- (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) = 41.9 - 35.1
4 pails + 3 containers - 3 pails - 3 containers = 6.8
4 pails - 3 pails + 3 containers - 3 containers = 6.8
1 pail = 6.8
Volume of 1 pail = 6.8 ℓ
(b)
Substitute 1 pail = 6.8 into (2).
1 pail + 1 container = 11.7
6.8 + 1 container = 11.7
1 container = 11.7 - 6.8 = 4.9
Volume of 1 container = 4.9 ℓ
(c)
Volume of 5 containers
= 5 x 4.9
= 24.5 ℓ
(d)
Volume of 8 containers and 4 pails
= 8 x 4.9 + 4 x 6.8
= 39.2 + 27.2
= 66.4 ℓ
Answer(s): (a) 6.8 ℓ; (b) 4.9 ℓ; (c) 24.5 ℓ; (d) 66.4 ℓ