9 pails and 8 containers can hold 57.5 litres of water.
1 pail and 1 container can hold 6.7 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 9 containers hold?
- How many litres of water can 3 containers and 9 pails?
(a)
9 pails + 8 containers = 57.5 --- (1)
1 pail + 1 container = 6.7 --- (2)
(2) x 8
1 pail + 1 container = 6.7
8 pails + 8 containers = 6.7 x 8
8 pails + 8 containers = 53.6 --- (3)
(1) - (3)
(9 pails + 8 containers) - (8 pails + 8 containers) = 57.5 - 53.6
9 pails + 8 containers - 8 pails - 8 containers = 3.9
9 pails - 8 pails + 8 containers - 8 containers = 3.9
1 pail = 3.9
Volume of 1 pail = 3.9 ℓ
(b)
Substitute 1 pail = 3.9 into (2).
1 pail + 1 container = 6.7
3.9 + 1 container = 6.7
1 container = 6.7 - 3.9 = 2.8
Volume of 1 container = 2.8 ℓ
(c)
Volume of 9 containers
= 9 x 2.8
= 25.2 ℓ
(d)
Volume of 3 containers and 9 pails
= 3 x 2.8 + 9 x 3.9
= 8.4 + 35.1
= 43.5 ℓ
Answer(s): (a) 3.9 ℓ; (b) 2.8 ℓ; (c) 25.2 ℓ; (d) 43.5 ℓ