There are 20 guests at a party. The host has 8 gallons of punch. He estimates that each guest will drink 2 cups of punch. If his estimate is correct, how much punch will be left over at the end of the party?

2 Answers
Aug 19, 2017

#20.8143L = 88# cups

Explanation:

20 guests times 2 cups of punch each = 40 cups of punch drunk total.

Then take that off the 8 gallon original amount of punch
(according to google 8 gallons is 30.2833L)

Assuming that 1 cup = 236.6 mL,

#40*236.6=9464# mL = 9.464 L,

then the estimate is
#30.2833-9.464 = #20.8143L total.

Aug 19, 2017

#88# cups or #5.5# gallons

Explanation:

#1# quart is equivalent to #0.25# gallons.

#4# cups are equivalent to #1# quart.

So, #4# cups are equivalent to #0.25# gallons.

Therefore, #1# cup is equivalent to #0.25 div 4 = 0.0625# gallons.

Now, the host has #8# gallons of punch for his party.

That is equivalent to #8 div 0.0625 = 128# cups.

Also, there are #20# guests at the party, and each guest will drink #2# cups of punch.

In total, the guests will drink #20 times 2 = 40# cups of punch.

If his estimate is correct, there will be #128 - 40 = 88# cups of punch left at the party.

This is also equivalent to #88 times 0.0625 = 5.5# gallons.