# 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?

Aug 19, 2017

$20.8143 L = 88$ 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,

$40 \cdot 236.6 = 9464$ 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.