8 pails and 7 containers can hold 35.8 litres of water.
1 pail and 1 container can hold 4.7 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 6 containers hold?
- How many litres of water can 7 containers and 8 pails?
(a)
8 pails + 7 containers = 35.8 --- (1)
1 pail + 1 container = 4.7 --- (2)
(2) x 7
1 pail + 1 container = 4.7
7 pails + 7 containers = 4.7 x 7
7 pails + 7 containers = 32.9 --- (3)
(1) - (3)
(8 pails + 7 containers) - (7 pails + 7 containers) = 35.8 - 32.9
8 pails + 7 containers - 7 pails - 7 containers = 2.9
8 pails - 7 pails + 7 containers - 7 containers = 2.9
1 pail = 2.9
Volume of 1 pail = 2.9 ℓ
(b)
Substitute 1 pail = 2.9 into (2).
1 pail + 1 container = 4.7
2.9 + 1 container = 4.7
1 container = 4.7 - 2.9 = 1.8
Volume of 1 container = 1.8 ℓ
(c)
Volume of 6 containers
= 6 x 1.8
= 10.8 ℓ
(d)
Volume of 7 containers and 8 pails
= 7 x 1.8 + 8 x 2.9
= 12.6 + 23.2
= 35.8 ℓ
Answer(s): (a) 2.9 ℓ; (b) 1.8 ℓ; (c) 10.8 ℓ; (d) 35.8 ℓ