Nick and Michael each had the same volume of water. The water was used to pour into identical bottles. Nick filled up 9 bottles and had 4.7 ℓ of water left. Michael filled up 7 bottles and had 6.1 ℓ of water left.
- What was the capacity of each bottle? Give your answer in millilitres.
- What was the total volume of water Nick and Michael had at first? Give your answer in litres.
(a)
Difference between the number of bottles
= 9 - 7
= 2
Difference between the volume of water left
= 6.1 - 4.7
= 1.4 ℓ
Volume of 2 bottles = 1.4 ℓ
Volume of 1 bottle
= 1.4 ÷ 2
= 0.7 ℓ
1 ℓ = 1000 mℓ
0.7 ℓ = 0.7 x 1000 = 700 mℓ
(b)
Volume of 7 bottles
= 7 x 0.7
= 4.9 ℓ
Volume of water that Michael had at first
= 4.9 + 6.1
= 11 ℓ
Total volume of water that Nick and Michael had at first
= 2 x 11
= 22 ℓ
Answer(s): (a) 700 mℓ (b) 22 ℓ