If you have 400 grams of water and 75 grams of ice in a glass, and 20 minutes later there is only 50 grams of ice in the glass. What happened to the rest of the ice and how many grams of water do you have?

1 answer

Let's analyze the scenario:

  1. You start with 400 grams of water and 75 grams of ice in a glass. This means you have a total of 400 grams of liquid water plus 75 grams of ice.

  2. After 20 minutes, there is only 50 grams of ice left. This indicates that some of the ice has melted.

  3. The amount of ice that melted can be determined by subtracting the remaining ice from the original amount of ice: \[ 75 \text{ grams (initial ice)} - 50 \text{ grams (remaining ice)} = 25 \text{ grams (melted ice)} \]

  4. When the ice melts, it turns into water. Therefore, the 25 grams of melted ice contributes to the total weight of the water.

  5. Now, we calculate the total amount of water in the glass after the melting:

    • Initial water: 400 grams
    • Melted ice: 25 grams \[ \text{Total water} = 400 \text{ grams} + 25 \text{ grams} = 425 \text{ grams} \]

In summary:

  • The 25 grams of ice melted and turned into water.
  • You now have a total of 425 grams of water in the glass.