June needs 45 gallons of punch for a party and has 2 different coolers to carry it in. The bigger cooler is 5 times as large as the smaller cooler. How many gallons can each cooler hold?

larger cooler can hold 75/2

smaller cooler can hold 15/2

Step-by-step explanation:

L for larger cooler

S for smaller cooler

L=5S

L+S=45

substitute 5S in L

5S+S=45

6S=45

divide both sides by 6

S=45/6

Divide by 3

S=15/2

now plug 15/6 in L=5S

L=5 (15/6)

L = 75/2

Answer:small cooler 7.5 gallons

large cooler 37.5 gallons