7 containers and 6 pails can hold 68.1 litres of water.
1 container and 1 pail can hold 10.4 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 3 pails hold?
- How many litres of water can 7 pails and 7 containers?
(a)
7 containers + 6 pails = 68.1 --- (1)
1 container + 1 pail = 10.4 --- (2)
(2) x 6
1 container + 1 pail = 10.4
6 containers + 6 pails = 10.4 x 6
6 containers + 6 pails = 62.4 --- (3)
(1) - (3)
(7 containers + 6 pails) - (6 containers + 6 pails) = 68.1 - 62.4
7 containers + 6 pails - 6 containers - 6 pails = 5.7
7 containers - 6 containers + 6 pails - 6 pails = 5.7
1 container = 5.7
Volume of 1 container = 5.7 ℓ
(b)
Substitute 1 container = 5.7 into (2).
1 container + 1 pail = 10.4
5.7 + 1 pail = 10.4
1 pail = 10.4 - 5.7 = 4.7
Volume of 1 pail = 4.7 ℓ
(c)
Volume of 3 pails
= 3 x 4.7
= 14.1 ℓ
(d)
Volume of 7 pails and 7 containers
= 7 x 4.7 + 7 x 5.7
= 32.9 + 39.9
= 72.8 ℓ
Answer(s): (a) 5.7 ℓ; (b) 4.7 ℓ; (c) 14.1 ℓ; (d) 72.8 ℓ