Question

Maria is filling up a tank with water for some fish in a pet shop. She needs the tank to have at least 105 liters of water for the fish to survive in it, and at most 165 liters to avoid it being too full. The hose she is using fills the tank with 20 liters of water each minute. The tank already has 65 liters of water in it. Let x be the number of minutes she will continue to fill the tank. How many more minutes does Maria need to fill the tank to reach the minimum required amount of water?

Answer 1

Maria needs to run the hose for an additional 2 minutes to reach the minimum required amount of 105 liters, starting from the existing 65 liters in the tank, with the hose adding 20 liters per minute.

Step-by-step explanation:

Maria is filling up a tank and needs at least 105 liters but not more than 165 liters for the fish to survive. She starts with a tank that already has 65 liters of water. The hose adds 20 liters per minute and we need to calculate the minimum number of minutes, x, to reach at least 105 liters.

To solve this, we can set up the equation: 65 liters + (20 liters/minute) × x minutes = 105 liters. To find x, subtract 65 liters from both sides of the equation to get 20x = 40. Then divide both sides by 20 to solve for x, giving us x = 2 minutes.

Therefore, Maria needs to fill the tank for an additional 2 minutes to reach the minimum amount of water required.