6 containers and 5 pails can hold 37.1 litres of water.
1 container and 1 pail can hold 6.5 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 7 pails hold?
- How many litres of water can 6 pails and 6 containers?
(a)
6 containers + 5 pails = 37.1 --- (1)
1 container + 1 pail = 6.5 --- (2)
(2) x 5
1 container + 1 pail = 6.5
5 containers + 5 pails = 6.5 x 5
5 containers + 5 pails = 32.5 --- (3)
(1) - (3)
(6 containers + 5 pails) - (5 containers + 5 pails) = 37.1 - 32.5
6 containers + 5 pails - 5 containers - 5 pails = 4.6
6 containers - 5 containers + 5 pails - 5 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 = 6.5
4.6 + 1 pail = 6.5
1 pail = 6.5 - 4.6 = 1.9
Volume of 1 pail = 1.9 ℓ
(c)
Volume of 7 pails
= 7 x 1.9
= 13.3 ℓ
(d)
Volume of 6 pails and 6 containers
= 6 x 1.9 + 6 x 4.6
= 11.4 + 27.6
= 39 ℓ
Answer(s): (a) 4.6 ℓ; (b) 1.9 ℓ; (c) 13.3 ℓ; (d) 39 ℓ