Answer:
The capacity of smaller cooler = 7.5 gallons
The capacity of bigger cooler = 37.5 gallons
Step-by-step explanation:
Let smaller cooler's capacity be x gallons
Hence
Larger cooler's capacity will be 5x gallons
Together, they will hold 45 gallons, thus we can write:
x + 5x = 45
Solving:
x + 5x = 45
6x = 45
x = 45/6 = 7.5
And 5x = 5(7.5) = 37.5
The capacity of smaller cooler = 7.5 gallons
The capacity of bigger cooler = 37.5 gallons