Question

A tank is to be filled with water. When the tank is one-sixth full, 130 gallons of water are added, making the tank three-fifths full. How many gallons does the tank contain when it is completely full?

Answer 1

300 gallons

Explanation:

The difference between three-fifths full and one-sixth full is 3/5-1/6=13/30 of the tank's capacity. Let x be the capacity of the tank in gallons. Since 13/30 of the tank's capacity is 130 gallons, we have 13/30 x = 130. Multiplying both sides by 30/13 gives x = 300, so the capacity is 300 gallons.

Answer 2

the amount added, 130 gallons is the difference
= 3/5 - 1/6
= 18/30 - 5/30
= 13/30
multiply by 10/10
= 130/300 gallons

300 gallons when full