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A rain barrel can hold 50 gallons of water. It there are 32 gallons iside of it, what percent of the barrelis full? \[ \frac{\text { Part }}{\text { Total }}=\frac{\text { Percent }}{100} \]

Ask by Murphy Coleman. in the United States
Jan 23,2025

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Answer

The rain barrel is 64% full.

Solution

To determine what percent of the rain barrel is full, you can use the formula for finding a percentage: \[ \frac{\text{Part}}{\text{Total}} = \frac{\text{Percent}}{100} \] **Given:** - **Part (Amount of water in the barrel):** 32 gallons - **Total (Capacity of the barrel):** 50 gallons **Step 1: Plug the values into the formula** \[ \frac{32}{50} = \frac{\text{Percent}}{100} \] **Step 2: Solve for Percent** To find the percent, you can cross-multiply and solve for the unknown: \[ 32 \times 100 = 50 \times \text{Percent} \] \[ 3200 = 50 \times \text{Percent} \] \[ \text{Percent} = \frac{3200}{50} \] \[ \text{Percent} = 64 \] **Answer:** The rain barrel is **64% full**.

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To find out what percent of the rain barrel is full, you can plug the numbers into the formula you provided. Here, the "Part" is 32 gallons (the water currently in the barrel) and the "Total" is 50 gallons (the total capacity of the barrel). Using the formula: \[ \frac{32}{50} = \frac{\text{Percent}}{100} \] To solve, first calculate \( \frac{32}{50} = 0.64 \). Then, multiply by 100 to find the percentage: \[ 0.64 \times 100 = 64\% \] So, the rain barrel is 64% full! Now, did you know that rain barrels are not only great for conserving water but can also help you save money on your water bill? Just think about all those plants and gardens that thrive on rainwater rather than treated water! Plus, using rain barrels can reduce runoff and help protect local waterways from pollution. And if you start your own rain barrel project, consider painting it with a vibrant design or planting flowers around its base! It’s an engaging way to integrate sustainability into your home and even boosts your curb appeal. Just be sure to check local regulations on rainwater harvesting!

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