ai) An 80 -ounce bottle of apple juice contains 32 ounces of water. A 64 -ounce bottle of orange juice has 48 ounces of water. Which juice has a greater percent of woter? What percent of the bottle of apple juice is water? \% water

To determine which juice has a greater percent of water, we need to calculate the percentage of water in each juice bottle. ### Step 1: Calculate the percent of water in the apple juice. The formula for calculating the percentage of water is: \[ \text{Percent of water} = \left( \frac{\text{Amount of water}}{\text{Total volume}} \right) \times 100 \] For the apple juice: - Amount of water = 32 ounces - Total volume = 80 ounces Substituting the values into the formula: \[ \text{Percent of water in apple juice} = \left( \frac{32}{80} \right) \times 100 \] ### Step 2: Calculate the percent of water in the orange juice. For the orange juice: - Amount of water = 48 ounces - Total volume = 64 ounces Using the same formula: \[ \text{Percent of water in orange juice} = \left( \frac{48}{64} \right) \times 100 \] Now, let's calculate both percentages. Calculate the value by following steps: - step0: Calculate: \(\left(\frac{48}{64}\right)\times 100\) - step1: Reduce the fraction: \(\frac{3}{4}\times 100\) - step2: Reduce the numbers: \(3\times 25\) - step3: Multiply the numbers: \(75\) Calculate or simplify the expression \( (32/80)*100 \). Calculate the value by following steps: - step0: Calculate: \(\left(\frac{32}{80}\right)\times 100\) - step1: Reduce the fraction: \(\frac{2}{5}\times 100\) - step2: Reduce the numbers: \(2\times 20\) - step3: Multiply the numbers: \(40\) ### Step 3: Results of the calculations - The percent of water in the apple juice is **40%**. - The percent of water in the orange juice is **75%**. ### Conclusion The orange juice has a greater percent of water at **75%**, compared to the apple juice, which has **40%**.