Sean and Jeremy each had the same volume of water. The water was used to pour into identical bottles. Sean filled up 13 bottles and had 3 ℓ of water left. Jeremy filled up 9 bottles and had 3.44 ℓ of water left.
- What was the capacity of each bottle? Give your answer in millilitres.
- What was the total volume of water Sean and Jeremy had at first? Give your answer in litres.
(a)
Let 1 B be the volume of 1 bottle of water.
Volume of water that Sean had = 13 B + 3 --- (1)
Volume of water that Jeremy had = 9 B + 3.44 --- (2)
The volume of water that Sean and Jeremy have is the same.
(1) = (2)
13 B + 3 = 9 B + 3.44
13 B - 9 B = 3.44 - 3
4 B = 0.44
1 B = 0.44 ÷ 4 = 0.11
1 ℓ = 1000 mℓ
0.11 ℓ = 0.11 x 1000 = 110 mℓ
(b)
Volume of 13 bottles
= 13 x 0.11
= 1.43 ℓ
Volume of water that Sean had at first
= 13 B + 3
= 13 x 0.11 + 3
= 1.43 + 3
= 4.43 ℓ
Total volume of water that Sean and Jeremy had at first
= 2 x 4.43
= 8.86 ℓ
Answer(s): (a) 110 mℓ; (b) 8.86 ℓ
