In an examination, 15% of the candidate passed. 24 of these were girls. The remaining (3)/(5) of the candidates who passed were boys. 90 boys failed the examination. What percentage of the total number of candidates were girls who failed the examination?

Question

In an examination,  15% of the candidate passed. 24 of these were girls. The remaining  (3)/(5) of the candidates who passed were boys. 90 boys failed the examination. What percentage of the total number of candidates were girls who failed the examination?

Bytelearn · Accepted Answer

Calculate Total Passed:  Calculate the total number of candidates who passed. Since 24 girls passed and they make up 40% of those who passed (since 60% were boys), we can set up the equation: 24 = 0.4 * Total_passed Total_passed = 24 / 0.4 Total_passed = 60 Calculate Boys Passed:  Calculate the total number of boys who passed. Since 60% of those who passed were boys: Boys_passed = 0.6 * Total_passed Boys_passed = 0.6 * 60 Boys_passed = 36 Calculate Total Boys:  Calculate the total number of candidates. Since 90 boys failed and 36 boys passed: Total_boys = Boys_passed + Boys_failed Total_boys = 36 + 90 Total_boys = 126 Calculate Total Candidates:  Calculate the total number of candidates using the percentage that passed. Since 15% passed: Total_candidates = Total_passed / 0.15 Total_candidates = 60 / 0.15 Total_candidates = 400 Calculate Girls Failed:  Calculate the number of girls who failed. Since the total number of candidates is 400 and 24 girls passed: Girls_failed = Total_candidates - Total_boys - Girls_passed Girls_failed = 400 - 126 - 24 Girls_failed = 250 Calculate Percentage Girls Failed:  Calculate the percentage of girls who failed. Since 250 girls failed out of 400 total candidates: Percentage_girls_failed = (Girls_failed / Total_candidates) * 100 Percentage_girls_failed = (250 / 400) * 100 Percentage_girls_failed = 62.5%

In an examination, $15 \%$ of the candidate passed. $24$ of these were girls. The remaining $\frac{3}{5}$ of the candidates who passed were boys. $90$ boys failed the examination. What percentage of the total number of candidates were girls who failed the examination?

Full solution

More problems from Multiply fractions: word problems

Related topics

In an examination, 15% 15 \% 15% of the candidate passed. 242424 of these were girls. The remaining 35 \frac{3}{5} 53​ of the candidates who passed were boys. 909090 boys failed the examination. What percentage of the total number of candidates were girls who failed the examination?

In an examination, $15 \%$ of the candidate passed. $24$ of these were girls. The remaining $\frac{3}{5}$ of the candidates who passed were boys. $90$ boys failed the examination. What percentage of the total number of candidates were girls who failed the examination?