Questions: Jacob has a 20 gallon fish tank. He could only find a quart size pitcher to fill his tank. How many times will Jacob have to fill the pitcher to get 19 gallons of water in his tank?

Solution Steps

First, convert the desired volume of water from gallons to quarts. Since 1 gallon equals 4 quarts, multiply 19 gallons by 4: \[ 19 \text{ gallons} \times 4 \text{ quarts/gallon} = 76 \text{ quarts}. \]

Jacob is using a quart-sized pitcher, so each fill equals 1 quart. To find out how many times he needs to fill the pitcher, divide the total quarts by the size of the pitcher: \[ 76 \text{ quarts} \div 1 \text{ quart/fill} = 76 \text{ fills}. \]

The number of fills required is 76, which corresponds to option B.

Final Answer