3 containers and 2 pails can hold 15.9 litres of water.
1 container and 1 pail can hold 6.7 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 7 pails and 3 containers?
(a)
3 containers + 2 pails = 15.9 --- (1)
1 container + 1 pail = 6.7 --- (2)
(2) x 2
1 container + 1 pail = 6.7
2 containers + 2 pails = 6.7 x 2
2 containers + 2 pails = 13.4 --- (3)
(1) - (3)
(3 containers + 2 pails) - (2 containers + 2 pails) = 15.9 - 13.4
3 containers + 2 pails - 2 containers - 2 pails = 2.5
3 containers - 2 containers + 2 pails - 2 pails = 2.5
1 container = 2.5
Volume of 1 container = 2.5 ℓ
(b)
Substitute 1 container = 2.5 into (2).
1 container + 1 pail = 6.7
2.5 + 1 pail = 6.7
1 pail = 6.7 - 2.5 = 4.2
Volume of 1 pail = 4.2 ℓ
(c)
Volume of 9 pails
= 9 x 4.2
= 37.8 ℓ
(d)
Volume of 7 pails and 3 containers
= 7 x 4.2 + 3 x 2.5
= 29.4 + 7.5
= 36.9 ℓ
Answer(s): (a) 2.5 ℓ; (b) 4.2 ℓ; (c) 37.8 ℓ; (d) 36.9 ℓ