The District Transport Authority has started special bus services for college-going students. One bus starts from village P. The number of girls on the bus is one-fourth of the number of boys. In village Q, 20 boys leave the bus at their college stop and ten girls enter the bus. Now the number of boys and girls is equal. How many students enter the bus in the beginning?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 50.
| Understanding |
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Let, Number of girls = x Number of boys = y Village P: x = 1/4y ⇒ 4x = y At village Q: According to the question; x + 10 = y - 20 ⇒ x + 10 = 4x - 20 ⇒ 3x = 30 ⇒ x = 10 Number of girls = x =10 Number of boys = y = 4x = 40 Total number of students who enter the bus at the beginning = 40 + 10 = 50. Hence, option 1 is the correct answer. |