Question

Carly purchase 9 and 1/2 pints of ice cream for a party.If each guest will be served exactly 3/5 pint of ice cream what is the greatest number of guests that Carly can serve

Answer 1

15 guests.

Explanation:

We have been given that Carly purchase 9 and 1/2 pints of ice cream for a party. Each guest will be served exactly 3/5 pint of ice cream.

To find the greatest number of guests that could be served the ice-cream, we will divide total amount of ice-cream by 3/5.

`9(1)/(2)=(9* 2+1)/(2)=(19)/(2)`

`\text{The greatest number of guests that Carly can serve}=(19)/(2)/(3)/(5)`

Now, we will convert division of fraction into multiplication by flipping the 2nd fraction as:

`\text{The greatest number of guests that Carly can serve}=(19)/(2)*(5)/(3)`

`\text{The greatest number of guests that Carly can serve}=(19* 5)/(2*3)`

`\text{The greatest number of guests that Carly can serve}=(95)/(6)`

`\text{The greatest number of guests that Carly can serve}=15.833`

Since we cannot serve to 0.833 of a person, therefore, the greatest number of guests that Carly can serve would be 15.