Neave and Charlie each had the same volume of water. The water was used to pour into identical bottles. Neave filled up 17 bottles and had 4 ℓ of water left. Charlie filled up 13 bottles and had 4.52 ℓ of water left.
- What was the capacity of each bottle? Give your answer in millilitres.
- What was the total volume of water Neave and Charlie had at first? Give your answer in litres.
(a)
Let 1 B be the volume of 1 bottle of water.
Volume of water that Neave had = 17 B + 4 --- (1)
Volume of water that Charlie had = 13 B + 4.52 --- (2)
The volume of water that Neave and Charlie have is the same.
(1) = (2)
17 B + 4 = 13 B + 4.52
17 B - 13 B = 4.52 - 4
4 B = 0.52
1 B = 0.52 ÷ 4 = 0.13
1 ℓ = 1000 mℓ
0.13 ℓ = 0.13 x 1000 = 130 mℓ
(b)
Volume of 17 bottles
= 17 x 0.13
= 2.21 ℓ
Volume of water that Neave had at first
= 17 B + 4
= 17 x 0.13 + 4
= 2.21 + 4
= 6.21 ℓ
Total volume of water that Neave and Charlie had at first
= 2 x 6.21
= 12.42 ℓ
Answer(s): (a) 130 mℓ; (b) 12.42 ℓ
