7 containers and 6 pails can hold 84.5 litres of water.
1 container and 1 pail can hold 12.6 litres of water.
- How many litres of water can 1 container hold?
- How many litres of water can 1 pail hold?
- How many litres of water can 4 pails hold?
- How many litres of water can 8 pails and 7 containers?
(a)
7 containers + 6 pails = 84.5 --- (1)
1 container + 1 pail = 12.6 --- (2)
(2) x 6
1 container + 1 pail = 12.6
6 containers + 6 pails = 12.6 x 6
6 containers + 6 pails = 75.6 --- (3)
(1) - (3)
(7 containers + 6 pails) - (6 containers + 6 pails) = 84.5 - 75.6
7 containers + 6 pails - 6 containers - 6 pails = 8.9
7 containers - 6 containers + 6 pails - 6 pails = 8.9
1 container = 8.9
Volume of 1 container = 8.9 ℓ
(b)
Substitute 1 container = 8.9 into (2).
1 container + 1 pail = 12.6
8.9 + 1 pail = 12.6
1 pail = 12.6 - 8.9 = 3.7
Volume of 1 pail = 3.7 ℓ
(c)
Volume of 4 pails
= 4 x 3.7
= 14.8 ℓ
(d)
Volume of 8 pails and 7 containers
= 8 x 3.7 + 7 x 8.9
= 29.6 + 62.3
= 91.9 ℓ
Answer(s): (a) 8.9 ℓ; (b) 3.7 ℓ; (c) 14.8 ℓ; (d) 91.9 ℓ