Question

Diego pours 6.8 ounces of water from a full bottle. He estimates that he poured out 20% of the water in the bottle. About how much water was in the full bottle? Please provide detailed steps and explanation.

Answer 1

Diego poured out 6.8 ounces of water estimating it to be 20% of the bottle's capacity. Using a proportional relationship, we calculate that the full bottle originally contained 34 ounces of water.

Step-by-step explanation:

Diego estimates that he poured out 20% of the water from a full bottle, which measured 6.8 ounces. To find out how much water was in the full bottle, we need to calculate the total amount based on the percentage given. Since 6.8 ounces represents 20% of the total, we can set up a simple proportion to find the full amount:

• If 20% equals 6.8 ounces, then 100% (the full bottle) would equal X ounces.
• So, we have 20% / 100% = 6.8 ounces / X ounces.
• To find X, we calculate X = (6.8 ounces × 100%) / 20%.
• This simplifies to X = 680 / 20, which equals 34 ounces.

Thus, the full water bottle initially contained 34 ounces of water.