Bryan and Julian each had the same volume of water. The water was used to pour into identical bottles. Bryan filled up 13 bottles and had 7 ℓ of water left. Julian filled up 9 bottles and had 7.6 ℓ of water left.
- What was the capacity of each bottle? Give your answer in millilitres.
- What was the total volume of water Bryan and Julian had at first? Give your answer in litres.
(a)
Let 1 B be the volume of 1 bottle of water.
Volume of water that Bryan had = 13 B + 7 --- (1)
Volume of water that Julian had = 9 B + 7.6 --- (2)
The volume of water that Bryan and Julian have is the same.
(1) = (2)
13 B + 7 = 9 B + 7.6
13 B - 9 B = 7.6 - 7
4 B = 0.6
1 B = 0.6 ÷ 4 = 0.15
1 ℓ = 1000 mℓ
0.15 ℓ = 0.15 x 1000 = 150 mℓ
(b)
Volume of 13 bottles
= 13 x 0.15
= 1.95 ℓ
Volume of water that Bryan had at first
= 13 B + 7
= 13 x 0.15 + 7
= 1.95 + 7
= 8.95 ℓ
Total volume of water that Bryan and Julian had at first
= 2 x 8.95
= 17.9 ℓ
Answer(s): (a) 150 mℓ; (b) 17.9 ℓ
