Jack and Asher each had the same volume of water. The water was used to pour into identical bottles. Jack filled up 11 bottles and had 4 ℓ of water left. Asher filled up 7 bottles and had 5.6 ℓ of water left.
- What was the capacity of each bottle? Give your answer in millilitres.
- What was the total volume of water Jack and Asher had at first? Give your answer in litres.
(a)
Let 1 B be the volume of 1 bottle of water.
Volume of water that Jack had = 11 B + 4 --- (1)
Volume of water that Asher had = 7 B + 5.6 --- (2)
The volume of water that Jack and Asher have is the same.
(1) = (2)
11 B + 4 = 7 B + 5.6
11 B - 7 B = 5.6 - 4
4 B = 1.6
1 B = 1.6 ÷ 4 = 0.4
1 ℓ = 1000 mℓ
0.4 ℓ = 0.4 x 1000 = 400 mℓ
(b)
Volume of 11 bottles
= 11 x 0.4
= 4.4 ℓ
Volume of water that Jack had at first
= 11 B + 4
= 11 x 0.4 + 4
= 4.4 + 4
= 8.4 ℓ
Total volume of water that Jack and Asher had at first
= 2 x 8.4
= 16.8 ℓ
Answer(s): (a) 400 mℓ; (b) 16.8 ℓ
