Diane asked her dad to buy 18 bottles of soft drink. Each bottle contained 5/4 litres. The glasses they had for the party could hold 1/5 of a litre. How many glasses could be filled

from the 18 bottles of soft drink?

18 * (5/4) = 90/4 = 22.5 liters

22.5 / 0.2 = ________ glasses

Note that Ms. Sue's answer is 112.5 glasses but that isn't the number that can be FILLED.

To find out how many glasses can be filled from the 18 bottles of soft drink, we need to determine the total volume of the soft drink and then divide it by the volume of each glass.

First, let's find the total volume of the soft drink. We know that each bottle contains 5/4 liters, so we can find the total volume of all 18 bottles by multiplying the volume of one bottle by the number of bottles:

Total volume of soft drink = (5/4) liters/bottle × 18 bottles

To multiply fractions, we multiply the numerators and then the denominators:

Total volume of soft drink = (5 × 18) / (4 × 1) liters

Simplifying the multiplication:

Total volume of soft drink = 90 / 4 liters

To divide a fraction by a whole number, we multiply the fraction by the reciprocal of the whole number:

Total volume of soft drink = 90 / 4 liters × 1 / 5 liters/glass

Multiplying the fractions:

Total volume of soft drink = (90 × 1) / (4 × 5) glasses

Simplifying the multiplication:

Total volume of soft drink = 90 / 20 glasses

Reducing the fraction:

Total volume of soft drink = 9 / 2 glasses

Therefore, the 18 bottles of soft drink can fill 9/2 glasses. This is equivalent to 4 and a half glasses.