David need 36 gallons of punch for a party and has two different cooler to carry I in the bigger cooler is 5 times as large as the smaller cooler how many gallons can each hold?

Small cooler can hold = 6 gallons

and big cooler can hold = 30 gallons

Step-by-step explanation:

Let the numbers of gallons hold by a small cooler is: x gallons

and the number of gallons hold by a bigger cooler is: 5x gallons.

(Since it was given that:

The bigger cooler is 5 times as large as the smaller cooler)

Also the total number of gallons of punch for a party is: 36 gallons

Hence, we get:

x+5x=36

i. e. 6x=36

On dividing both side by 6 we get:

x=6

Hence, the number of gallons hold by small cooler is: 6 gallons

and number of gallons hold by big cooler is: 5*6=30 gallons

David needs 36 gallons.

So, 36/z (for now) the bigger cooler is 5x. However, I don't know what x is. So, the problem can't really be solved. I'm sorry.