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

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

step-by-step explanation: