7 containers and 6 pails can hold 64.4 litres of water.
1 container and 1 pail can hold 9.5 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 = 64.4 --- (1)
1 container + 1 pail = 9.5 --- (2)
(2) x 6
1 container + 1 pail = 9.5
6 containers + 6 pails = 9.5 x 6
6 containers + 6 pails = 57 --- (3)
(1) - (3)
(7 containers + 6 pails) - (6 containers + 6 pails) = 64.4 - 57
7 containers + 6 pails - 6 containers - 6 pails = 7.4
7 containers - 6 containers + 6 pails - 6 pails = 7.4
1 container = 7.4
Volume of 1 container = 7.4 ℓ
(b)
Substitute 1 container = 7.4 into (2).
1 container + 1 pail = 9.5
7.4 + 1 pail = 9.5
1 pail = 9.5 - 7.4 = 2.1
Volume of 1 pail = 2.1 ℓ
(c)
Volume of 9 pails
= 9 x 2.1
= 18.9 ℓ
(d)
Volume of 3 pails and 7 containers
= 3 x 2.1 + 7 x 7.4
= 6.3 + 51.8
= 58.1 ℓ
Answer(s): (a) 7.4 ℓ; (b) 2.1 ℓ; (c) 18.9 ℓ; (d) 58.1 ℓ