7 pails and 6 containers can hold 73.1 litres of water.
1 pail and 1 container can hold 10.8 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 7 containers hold?
- How many litres of water can 3 containers and 7 pails?
(a)
7 pails + 6 containers = 73.1 --- (1)
1 pail + 1 container = 10.8 --- (2)
(2) x 6
1 pail + 1 container = 10.8
6 pails + 6 containers = 10.8 x 6
6 pails + 6 containers = 64.8 --- (3)
(1) - (3)
(7 pails + 6 containers) - (6 pails + 6 containers) = 73.1 - 64.8
7 pails + 6 containers - 6 pails - 6 containers = 8.3
7 pails - 6 pails + 6 containers - 6 containers = 8.3
1 pail = 8.3
Volume of 1 pail = 8.3 ℓ
(b)
Substitute 1 pail = 8.3 into (2).
1 pail + 1 container = 10.8
8.3 + 1 container = 10.8
1 container = 10.8 - 8.3 = 2.5
Volume of 1 container = 2.5 ℓ
(c)
Volume of 7 containers
= 7 x 2.5
= 17.5 ℓ
(d)
Volume of 3 containers and 7 pails
= 3 x 2.5 + 7 x 8.3
= 7.5 + 58.1
= 65.6 ℓ
Answer(s): (a) 8.3 ℓ; (b) 2.5 ℓ; (c) 17.5 ℓ; (d) 65.6 ℓ