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The ratio of the number of boys to the number of girls in a school is 6 : 5. If 20% of boys and 45% of girls come by bus to school, what percentage of students opt transport other than bus to come to school?
- a)68 9/11%
- b)68 7/11%
- c)72 7/11%
- d)73%
- e)73 5/11%
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The ratio of the number of boys to the number of girls in a school is ...
B) 68 7/11%
Explanation: If 20% of boys and 45% of girls come by bus, then 80% of boys and 55% of girls opt transport other than bus.
Let total number of students in school = x So boys who opt other transport are (80/100) * 6/(6+5) * x = 24x/55 And girls who opt other transport are (55/100) * 5/(6+5) * x = x/4 So total students who opt other transport = (24x/55) + (x/4) = 151x/220 So required % = [(151x/220)/x] * 100 = 755/11 %
Explanation: If 20% of boys and 45% of girls come by bus, then 80% of boys and 55% of girls opt transport other than bus.
Let total number of students in school = x So boys who opt other transport are (80/100) * 6/(6+5) * x = 24x/55 And girls who opt other transport are (55/100) * 5/(6+5) * x = x/4 So total students who opt other transport = (24x/55) + (x/4) = 151x/220 So required % = [(151x/220)/x] * 100 = 755/11 %
Most Upvoted Answer
The ratio of the number of boys to the number of girls in a school is ...
Given:
- The ratio of boys to girls in the school is 6:5.
- 20% of boys come to school by bus.
- 45% of girls come to school by bus.
To find: Percentage of students who opt for transportation other than bus to come to school.
Let's assume the total number of boys is 6x and the total number of girls is 5x.
Number of boys coming by bus = 20% of 6x = (20/100) * 6x = 1.2x
Number of boys not coming by bus = 6x - 1.2x = 4.8x
Number of girls coming by bus = 45% of 5x = (45/100) * 5x = 2.25x
Number of girls not coming by bus = 5x - 2.25x = 2.75x
Total number of students coming by bus = number of boys coming by bus + number of girls coming by bus = 1.2x + 2.25x = 3.45x
Total number of students not coming by bus = number of boys not coming by bus + number of girls not coming by bus = 4.8x + 2.75x = 7.55x
The percentage of students not coming by bus = (Total number of students not coming by bus / Total number of students) * 100
Total number of students = total number of boys + total number of girls = 6x + 5x = 11x
Percentage of students not coming by bus = (7.55x / 11x) * 100 = (7.55/11) * 100 ≈ 68.64%
Therefore, the percentage of students who opt for transportation other than the bus is approximately 68.64%.
The correct answer is option B) 68 7/11%.
- The ratio of boys to girls in the school is 6:5.
- 20% of boys come to school by bus.
- 45% of girls come to school by bus.
To find: Percentage of students who opt for transportation other than bus to come to school.
Let's assume the total number of boys is 6x and the total number of girls is 5x.
Number of boys coming by bus = 20% of 6x = (20/100) * 6x = 1.2x
Number of boys not coming by bus = 6x - 1.2x = 4.8x
Number of girls coming by bus = 45% of 5x = (45/100) * 5x = 2.25x
Number of girls not coming by bus = 5x - 2.25x = 2.75x
Total number of students coming by bus = number of boys coming by bus + number of girls coming by bus = 1.2x + 2.25x = 3.45x
Total number of students not coming by bus = number of boys not coming by bus + number of girls not coming by bus = 4.8x + 2.75x = 7.55x
The percentage of students not coming by bus = (Total number of students not coming by bus / Total number of students) * 100
Total number of students = total number of boys + total number of girls = 6x + 5x = 11x
Percentage of students not coming by bus = (7.55x / 11x) * 100 = (7.55/11) * 100 ≈ 68.64%
Therefore, the percentage of students who opt for transportation other than the bus is approximately 68.64%.
The correct answer is option B) 68 7/11%.
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