Answer:
Smaller cooler can hold 8 gallons and the bigger cooler can hold 40 gallons.
Step-by-step explanation:
Given: June needs 48 gallons of punch for a party and has two different
coolers to carry it in. The bigger cooler is five times as large as the
smaller cooler.
To find: How many gallons can each cooler hold?
Solution: Let the smaller cooler can carry x gallons of punch.
As per the question, the larger cooler will carry 5x gallons of punch.
Now, it is given that June needs 48 gallons of punch for a party.
So, we have an equation as [tex]x+5x=48[/tex]
On solving, the above equation for x we have,
[tex]x+5x=48[/tex]
[tex]6x=48[/tex]
[tex]x=8[/tex]
So, the smaller cooler can hold 8 gallons of punch and the bigger cooler can hold [tex]8\times5=40[/tex] gallons.
Hence, smaller cooler can hold 8 gallons of punch and the bigger cooler can hold 40 gallons of punch.
