3 pails and 2 containers can hold 26.7 litres of water.
1 pail and 1 container can hold 10.5 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 6 containers hold?
- How many litres of water can 3 containers and 3 pails?
(a)
3 pails + 2 containers = 26.7 --- (1)
1 pail + 1 container = 10.5 --- (2)
(2) x 2
1 pail + 1 container = 10.5
2 pails + 2 containers = 10.5 x 2
2 pails + 2 containers = 21 --- (3)
(1) - (3)
(3 pails + 2 containers) - (2 pails + 2 containers) = 26.7 - 21
3 pails + 2 containers - 2 pails - 2 containers = 5.7
3 pails - 2 pails + 2 containers - 2 containers = 5.7
1 pail = 5.7
Volume of 1 pail = 5.7 ℓ
(b)
Substitute 1 pail = 5.7 into (2).
1 pail + 1 container = 10.5
5.7 + 1 container = 10.5
1 container = 10.5 - 5.7 = 4.8
Volume of 1 container = 4.8 ℓ
(c)
Volume of 6 containers
= 6 x 4.8
= 28.8 ℓ
(d)
Volume of 3 containers and 3 pails
= 3 x 4.8 + 3 x 5.7
= 14.4 + 17.1
= 31.5 ℓ
Answer(s): (a) 5.7 ℓ; (b) 4.8 ℓ; (c) 28.8 ℓ; (d) 31.5 ℓ