7 containers and 6 pails can hold 69.4 litres of water.
1 container and 1 pail can hold 10.5 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 5 pails hold?
- How many litres of water can 3 pails and 7 containers?
(a)
7 containers + 6 pails = 69.4 --- (1)
1 container + 1 pail = 10.5 --- (2)
(2) x 6
1 container + 1 pail = 10.5
6 containers + 6 pails = 10.5 x 6
6 containers + 6 pails = 63 --- (3)
(1) - (3)
(7 containers + 6 pails) - (6 containers + 6 pails) = 69.4 - 63
7 containers + 6 pails - 6 containers - 6 pails = 6.4
7 containers - 6 containers + 6 pails - 6 pails = 6.4
1 container = 6.4
Volume of 1 container = 6.4 ℓ
(b)
Substitute 1 container = 6.4 into (2).
1 container + 1 pail = 10.5
6.4 + 1 pail = 10.5
1 pail = 10.5 - 6.4 = 4.1
Volume of 1 pail = 4.1 ℓ
(c)
Volume of 5 pails
= 5 x 4.1
= 20.5 ℓ
(d)
Volume of 3 pails and 7 containers
= 3 x 4.1 + 7 x 6.4
= 12.3 + 44.8
= 57.1 ℓ
Answer(s): (a) 6.4 ℓ; (b) 4.1 ℓ; (c) 20.5 ℓ; (d) 57.1 ℓ