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?
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Answer:

8 large glasses can be filled by a large bottle.

Step-by-step explanation:

First we calculate the volume of a small bottle:

  • [tex]\frac{SmallBottle}{1125}=\frac{2}{5}[/tex]
  • 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:

  • [tex]\frac{75}{LargeGlass}=\frac{4}{7}[/tex]
  • Volume of large glass = 131.25mL

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

  • [tex]\frac{1125}{131.25}= 8.5[/tex]

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