Question

Juice is sold in small bottles and large bottles.

The volume of the large bottle is 1125 ml.
1125 ml
volume of small bottle : volume of large bottle = 2:5
A cafe has small glasses and large glasses.
volume of small glass : volume of large glass - 4:7
A small bottle fills 6 smal glasses with no juice left over.
How many large glasses can be filled by a large bottle?
You must show your working out

Answer 1

8 large glasses can be filled by a large bottle.

Explanation:

First we calculate the volume of a small bottle:

• 
  `(SmallBottle)/(1125)=(2)/(5)`

• Volume of small bottle = 450 mL

Now we calculate the volume of a small glass:

" A small bottle fills 6 small glasses with no juice left over.", this means that

• Volume of small glass = volume of small bottle / 6

• Volume of small glass = 450 / 6 = 75 mL

Then we calculate the volume of a large glass:

• 
  `(75)/(LargeGlass)=(4)/(7)`

• Volume of large glass = 131.25mL

Finally we divide the volume of a large bottle by the volume of a large glass:

• 
  `(1125)/(131.25)= 8.5`

So 8 large glasses can be filled by a large bottle with juice left over.