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25 Jul 2022, 19:30
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B
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94% (02:20) correct
6%
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based on 18
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30 liters of a certain drink is to be divided between the students of \(5^{th}\) and \(10^{th}\) class. A school teacher is appointed on that duty. He gave \(\frac{3}{7}\) liter drink to each of \(5^{th}\) class student and then the remaining drink with \(\frac{3}{2}\) liters to each of \(10^{th}\) class student. If there are 21 students of \(5^{th}\) class, then what will be the number of students of \(10^{th}\) class and what will be the percentage to the total number of students ?
A. 12 students and 40%
B. 14 students and 40%
C. 15 students and 40%
D. 16 students and 40%
E. 16 students and 50%
A. 12 students and 40%
B. 14 students and 40%
C. 15 students and 40%
D. 16 students and 40%
E. 16 students and 50%
25 Jul 2022, 21:35
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Given: 30 liters of a certain drink is to be divided between the students of \(5^{th}\) and \(10^{th}\) class. A school teacher is appointed on that duty. He gave \(\frac{3}{7}\) liter drink to each of \(5^{th}\) class student and then the remaining drink with \(\frac{3}{2}\) liters to each of \(10^{th}\) class student.
Asked: If there are 21 students of \(5^{th}\) class, then what will be the number of students of \(10^{th}\) class and what will be the percentage to the total number of students ?
There are 21 students of \(5^{th}\) class
30 liters of a certain drink is to be divided between the students of 5th and 10th class. A school teacher is appointed on that duty. He gave \(\frac{3}{7}\) liter drink to each of 5th class student and then the remaining drink with \(\frac{3}{2}\) liters to each of 10th class student.
Let students of 10th class be x
\(21 *\frac{ 3}{ 7} + x * \frac{3}{2} = 30\)
\(9 + \frac{3x}{2} = 30\)
\(x = 21*\frac{2}{3} = 14\)
Percentage to total number of students = \(\frac{14}{(21+14)} *100% = \frac{1400}{35} % = 40%\)
IMO B
Asked: If there are 21 students of \(5^{th}\) class, then what will be the number of students of \(10^{th}\) class and what will be the percentage to the total number of students ?
There are 21 students of \(5^{th}\) class
30 liters of a certain drink is to be divided between the students of 5th and 10th class. A school teacher is appointed on that duty. He gave \(\frac{3}{7}\) liter drink to each of 5th class student and then the remaining drink with \(\frac{3}{2}\) liters to each of 10th class student.
Let students of 10th class be x
\(21 *\frac{ 3}{ 7} + x * \frac{3}{2} = 30\)
\(9 + \frac{3x}{2} = 30\)
\(x = 21*\frac{2}{3} = 14\)
Percentage to total number of students = \(\frac{14}{(21+14)} *100% = \frac{1400}{35} % = 40%\)
IMO B
26 Jul 2022, 01:03
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Bunuel
30 liters of a certain drink is to be divided between the students of \(5^{th}\) and \(10^{th}\) class. A school teacher is appointed on that duty. He gave \(\frac{3}{7}\) liter drink to each of \(5^{th}\) class student and then the remaining drink with \(\frac{3}{2}\) liters to each of \(10^{th}\) class student. If there are 21 students of \(5^{th}\) class, then what will be the number of students of \(10^{th}\) class and what will be the percentage to the total number of students ?
A. 12 students and 40%
B. 14 students and 40%
C. 15 students and 40%
D. 16 students and 40%
E. 16 students and 50%
A. 12 students and 40%
B. 14 students and 40%
C. 15 students and 40%
D. 16 students and 40%
E. 16 students and 50%
Just skip all the math and look at the answer choices!
A. If we have 21 in 5th and add 12 in 10th, that would be a total of 33 students. Is 12 equal to 40% of 33? No. Eliminate.
B. If we have 21 in 5th and add 14 in 10th, that would be a total of 35 students. Is 14 equal to 40% of 35? Yes. Keep it.
C. We can see this won’t work. Eliminate.
D. We can see this won’t work. Eliminate.
E. If we have 21 in 5th and add 16 in 10th, that would be a total of 37 students. Is 16 equal to 50% of 37? No. Eliminate.
Answer choice B.
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