4 containers and 3 pails can hold 29.5 litres of water.
1 container and 1 pail can hold 7.8 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 4 containers?
(a)
4 containers + 3 pails = 29.5 --- (1)
1 container + 1 pail = 7.8 --- (2)
(2) x 3
1 container + 1 pail = 7.8
3 containers + 3 pails = 7.8 x 3
3 containers + 3 pails = 23.4 --- (3)
(1) - (3)
(4 containers + 3 pails) - (3 containers + 3 pails) = 29.5 - 23.4
4 containers + 3 pails - 3 containers - 3 pails = 6.1
4 containers - 3 containers + 3 pails - 3 pails = 6.1
1 container = 6.1
Volume of 1 container = 6.1 ℓ
(b)
Substitute 1 container = 6.1 into (2).
1 container + 1 pail = 7.8
6.1 + 1 pail = 7.8
1 pail = 7.8 - 6.1 = 1.7
Volume of 1 pail = 1.7 ℓ
(c)
Volume of 9 pails
= 9 x 1.7
= 15.3 ℓ
(d)
Volume of 3 pails and 4 containers
= 3 x 1.7 + 4 x 6.1
= 5.1 + 24.4
= 29.5 ℓ
Answer(s): (a) 6.1 ℓ; (b) 1.7 ℓ; (c) 15.3 ℓ; (d) 29.5 ℓ