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In Math / Senior High School | 2024-09-03

DIRECTIONS: Solve the following problems below using the steps in solving problems involvingproportions. Write your answers on a separate piece of paper.1. Rhoda's allowance for the day is 250. She spends 80% of it and saves the rest. How much doesshe spend?2. Sixto, a grade six pupil, has 24 sheets of art paper for his project in Math. If 6 sheets of art paperwere used by Sixto, what percent of the sheets of art paper did he use?3. In a class of 50 pupils, 24 are boys. What percent of the class are boys?4. A vendor had 200 balloons for sale. If he sold 125 of them, what percent remains unsold?5. Manuel, a son of a school janitor, does not ask for more. He has a daily allowance of 10 a daywhich is 20% of his classmates daily allowance. How much is his classmate's daily allowance?​

Asked by ampalayohanthelma

Answer (2)

Answer:Here are the solutions to the problems using proportions:### 1. Rhoda's Spending- **Problem:** Rhoda's allowance is 250. She spends 80% of it. How much does she spend?- **Solution:** - Convert the percentage to a decimal: 80% = 0.80. - Calculate the amount spent: \( 250 \times 0.80 = 200 \). - **Answer:** Rhoda spends ₱200.### 2. Sixto's Art Paper Usage- **Problem:** Sixto has 24 sheets of art paper. He used 6 sheets. What percent did he use?- **Solution:** - Calculate the fraction used: \( \frac{6}{24} \). - Convert the fraction to a percentage: \( \frac{6}{24} = 0.25 \) or 25%. - **Answer:** Sixto used 25% of the sheets of art paper.### 3. Percent of Boys in the Class- **Problem:** In a class of 50 pupils, 24 are boys. What percent are boys?- **Solution:** - Calculate the fraction of boys: \( \frac{24}{50} \). - Convert the fraction to a percentage: \( \frac{24}{50} = 0.48 \) or 48%. - **Answer:** 48% of the class are boys.### 4. Percent of Balloons Remaining- **Problem:** A vendor had 200 balloons and sold 125. What percent remains unsold?- **Solution:** - Calculate the number of unsold balloons: \( 200 - 125 = 75 \). - Calculate the percentage of unsold balloons: \( \frac{75}{200} = 0.375 \) or 37.5%. - **Answer:** 37.5% of the balloons remain unsold.### 5. Manuel’s Classmate’s Allowance- **Problem:** Manuel's daily allowance is 10, which is 20% of his classmate's allowance. What is his classmate’s daily allowance?- **Solution:** - Let \( x \) be the classmate's daily allowance. - Set up the proportion: \( 0.20x = 10 \). - Solve for \( x \): \( x = \frac{10}{0.20} = 50 \). - **Answer:** Manuel’s classmate’s daily allowance is ₱50.

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