7 containers and 6 pails can hold 58.6 litres of water.
1 container and 1 pail can hold 9 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 9 pails hold?
- How many litres of water can 3 pails and 7 containers?
(a)
7 containers + 6 pails = 58.6 --- (1)
1 container + 1 pail = 9 --- (2)
(2) x 6
1 container + 1 pail = 9
6 containers + 6 pails = 9 x 6
6 containers + 6 pails = 54 --- (3)
(1) - (3)
(7 containers + 6 pails) - (6 containers + 6 pails) = 58.6 - 54
7 containers + 6 pails - 6 containers - 6 pails = 4.6
7 containers - 6 containers + 6 pails - 6 pails = 4.6
1 container = 4.6
Volume of 1 container = 4.6 ℓ
(b)
Substitute 1 container = 4.6 into (2).
1 container + 1 pail = 9
4.6 + 1 pail = 9
1 pail = 9 - 4.6 = 4.4
Volume of 1 pail = 4.4 ℓ
(c)
Volume of 9 pails
= 9 x 4.4
= 39.6 ℓ
(d)
Volume of 3 pails and 7 containers
= 3 x 4.4 + 7 x 4.6
= 13.2 + 32.2
= 45.4 ℓ
Answer(s): (a) 4.6 ℓ; (b) 4.4 ℓ; (c) 39.6 ℓ; (d) 45.4 ℓ