Julian and Albert each had the same volume of water. The water was used to pour into identical bottles. Julian filled up 14 bottles and had 7.5 ℓ of water left. Albert filled up 6 bottles and had 11.5 ℓ of water left.
- What was the capacity of each bottle? Give your answer in millilitres.
- What was the total volume of water Julian and Albert had at first? Give your answer in litres.
(a)
Difference between the number of bottles
= 14 - 6
= 8
Difference between the volume of water left
= 11.5 - 7.5
= 4 ℓ
Volume of 8 bottles = 4 ℓ
Volume of 1 bottle
= 4 ÷ 8
= 0.5 ℓ
1 ℓ = 1000 mℓ
0.5 ℓ = 0.5 x 1000 = 500 mℓ
(b)
Volume of 6 bottles
= 6 x 0.5
= 3 ℓ
Volume of water that Albert had at first
= 3 + 11.5
= 14.5 ℓ
Total volume of water that Julian and Albert had at first
= 2 x 14.5
= 29 ℓ
Answer(s): (a) 500 mℓ (b) 29 ℓ