The Vashi family has a 20-gallon aquarium that is only 3/4 full. The family uses a 2-quart pitcher to add water to the aquarium. How many times will the Vashis have to fill and empty the pitcher to completely refill the aquarium?
10 times
3/4 full is the same as saying the aqarium is initially at 15 gallons of water.there are 4 quarts in 1 gallon. To fill the aquarium up will take 5 more gallons! 2quart pitcher times 5 equals 10 times will the Vashis have to fill the aquarium with a 2 quart pitcher. So 10 is the answer!
To determine how many times the Vashi family will need to fill and empty the pitcher to completely refill the aquarium, we need to find out the total volume of water the aquarium can hold and the volume that the pitcher can hold.
First, we know that the aquarium has a capacity of 20 gallons. However, it is only 3/4 full, so we need to calculate how much water is missing.
To do this, we multiply the total capacity of the aquarium (20 gallons) by the fraction that represents how full it is (3/4):
20 gallons * 3/4 = 60/4 = 15 gallons
Therefore, there are 15 gallons of water missing from the aquarium.
Now, let's determine how many times the family needs to fill and empty the 2-quart pitcher to add 15 gallons of water.
Since there are 4 quarts in a gallon, the pitcher can hold 2/4 = 1/2 gallon of water.
To find out how many times they would need to fill and empty the pitcher, we divide the missing volume of water (15 gallons) by the volume the pitcher can hold (1/2 gallon):
15 gallons รท 1/2 gallon = 15 * 2/1 = 30
Therefore, the Vashi family will need to fill and empty the pitcher 30 times to completely refill the 20-gallon aquarium.