4 pails and 3 containers can hold 29.5 litres of water.
1 pail and 1 container can hold 8.3 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 9 containers and 4 pails?
(a)
4 pails + 3 containers = 29.5 --- (1)
1 pail + 1 container = 8.3 --- (2)
(2) x 3
1 pail + 1 container = 8.3
3 pails + 3 containers = 8.3 x 3
3 pails + 3 containers = 24.9 --- (3)
(1) - (3)
(4 pails + 3 containers) - (3 pails + 3 containers) = 29.5 - 24.9
4 pails + 3 containers - 3 pails - 3 containers = 4.6
4 pails - 3 pails + 3 containers - 3 containers = 4.6
1 pail = 4.6
Volume of 1 pail = 4.6 ℓ
(b)
Substitute 1 pail = 4.6 into (2).
1 pail + 1 container = 8.3
4.6 + 1 container = 8.3
1 container = 8.3 - 4.6 = 3.7
Volume of 1 container = 3.7 ℓ
(c)
Volume of 3 containers
= 3 x 3.7
= 11.1 ℓ
(d)
Volume of 9 containers and 4 pails
= 9 x 3.7 + 4 x 4.6
= 33.3 + 18.4
= 51.7 ℓ
Answer(s): (a) 4.6 ℓ; (b) 3.7 ℓ; (c) 11.1 ℓ; (d) 51.7 ℓ