Vaidev and Michael each had the same volume of water. The water was used to pour into identical bottles. Vaidev filled up 17 bottles and had 3 ℓ of water left. Michael filled up 11 bottles and had 5.4 ℓ of water left.
- What was the capacity of each bottle? Give your answer in millilitres.
- What was the total volume of water Vaidev and Michael had at first? Give your answer in litres.
(a)
Let 1 B be the volume of 1 bottle of water.
Volume of water that Vaidev had = 17 B + 3 --- (1)
Volume of water that Michael had = 11 B + 5.4 --- (2)
The volume of water that Vaidev and Michael have is the same.
(1) = (2)
17 B + 3 = 11 B + 5.4
17 B - 11 B = 5.4 - 3
6 B = 2.4
1 B = 2.4 ÷ 6 = 0.4
1 ℓ = 1000 mℓ
0.4 ℓ = 0.4 x 1000 = 400 mℓ
(b)
Volume of 17 bottles
= 17 x 0.4
= 6.8 ℓ
Volume of water that Vaidev had at first
= 17 B + 3
= 17 x 0.4 + 3
= 6.8 + 3
= 9.8 ℓ
Total volume of water that Vaidev and Michael had at first
= 2 x 9.8
= 19.6 ℓ
Answer(s): (a) 400 mℓ; (b) 19.6 ℓ
