9 containers and 8 pails can hold 85.7 litres of water.
1 container and 1 pail can hold 9.7 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 3 pails hold?
- How many litres of water can 3 pails and 9 containers?
(a)
9 containers + 8 pails = 85.7 --- (1)
1 container + 1 pail = 9.7 --- (2)
(2) x 8
1 container + 1 pail = 9.7
8 containers + 8 pails = 9.7 x 8
8 containers + 8 pails = 77.6 --- (3)
(1) - (3)
(9 containers + 8 pails) - (8 containers + 8 pails) = 85.7 - 77.6
9 containers + 8 pails - 8 containers - 8 pails = 8.1
9 containers - 8 containers + 8 pails - 8 pails = 8.1
1 container = 8.1
Volume of 1 container = 8.1 ℓ
(b)
Substitute 1 container = 8.1 into (2).
1 container + 1 pail = 9.7
8.1 + 1 pail = 9.7
1 pail = 9.7 - 8.1 = 1.6
Volume of 1 pail = 1.6 ℓ
(c)
Volume of 3 pails
= 3 x 1.6
= 4.8 ℓ
(d)
Volume of 3 pails and 9 containers
= 3 x 1.6 + 9 x 8.1
= 4.8 + 72.9
= 77.7 ℓ
Answer(s): (a) 8.1 ℓ; (b) 1.6 ℓ; (c) 4.8 ℓ; (d) 77.7 ℓ