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e.11 Percent of change: word problems 54 s Roger recelves a weekly allowance for completing all of his chores. During elementary school, his allowance was \( \$ 10 \). These days he recelves \( \$ 12 \) per week. What is the percent of increase in Roger's weekly allowance? Submit

Ask by Best Erickson. in the United States
Feb 19,2025

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Roger's weekly allowance increased by 20%.

Solución

To find the percent of increase, use the formula:   Percent Increase = [(New Value − Old Value) / Old Value] × 100% Plug in the numbers:   Percent Increase = [(12 − 10) / 10] × 100%   Percent Increase = (2 / 10) × 100%   Percent Increase = 0.2 × 100%   Percent Increase = 20% So, Roger's weekly allowance has increased by 20%.

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Extra Insights

To find the percent of increase in Roger's weekly allowance, you first subtract his old allowance from his new allowance: \(12 - 10 = 2\). Next, divide that increase by the original amount: \(2 \div 10 = 0.2\). Finally, multiply by 100 to convert it to a percentage: \(0.2 \times 100 = 20\%\). So, Roger's allowance increased by 20%! Now, let's apply the same method to other real-life scenarios, like your grades! If you scored 70 points on a test and improved to 85 points on the next one, you would find your increase (15 points), divide by your original score (70), and discover that your performance improved by about 21.43%! Keep practicing; small changes can lead to big results!

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