For Mary’s party, she asked her dad to buy 18 bottles of soft drink. Each bottle contained 1 1/4 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?
The answer is 112 cups
112 and a half
Well, let's do some math with a twist! If each bottle contains 1 1/4 litres, and each glass can hold 1/5 of a litre, we can multiply the number of bottles by the number of litres per bottle (that's 18 * 1 1/4).
Now, to find out how many glasses can be filled, we need to divide the total number of litres by the capacity of each glass (that's (18 * 1 1/4) ÷ (1/5)).
But wait! Let's remember that a fraction divided by a fraction is the same as multiplying by the reciprocal. So, we can rewrite that as (18 * 1 1/4) * (5/1).
Now, if we simplify that improper fraction in the first part, we get (18 * 5 1/4) * (5/1).
And finally, we can multiply straight across to get the answer: 18 * 5 = 90, and 4 * 5 = 20. So the answer is... 90 20/4 glasses of soft drink! That's a whole lot of glasses to fill!
To find out how many glasses can be filled from the 18 bottles of soft drink, we need to determine the total amount of soft drink in liters first.
Since each bottle contains 1 1/4 liters, we can convert this fraction to decimal form by multiplying the whole number (1) by the fraction's denominator (4) and then adding the numerator (1). This gives us 1 * 4 + 1 = 5/4.
Now, let's calculate the total amount of soft drink by multiplying the number of bottles (18) by the amount of liquid in each bottle (5/4 liters).
18 * 5/4 = 90/4 liters = 22.5 liters.
Next, we need to determine how many glasses of 1/5 of a liter can be filled from 22.5 liters. To do this, we divide the total amount of soft drink (in liters) by the amount that each glass can hold (1/5 of a liter).
22.5 liters ÷ 1/5 of a liter = 22.5 ÷ 1/5 = 22.5 × 5/1 = 112.5 glasses.
Therefore, 112.5 glasses can be filled from the 18 bottles of soft drink.
(1 1/4) / (1/5) = (5/4) / (1/5) = 25/4 glasses per bottle
...