Unfaithful friends

Algebra Level pending

A group of students decided to buy a tape recorder from 170 to 195 rupees.But at the last moment two students backed out the decision so that the remaining students had to pay a rupee each more than they had planned.What was the price of the tape recorder if the students paid equal share?

NOTE:- I don't know the solution neither the answer.SO please solve the question and click on "Click this (right answer)" to post your solution. Thanks.

Nope Click this (right answer) Wrong answer No

Harsh Kumar by Harsh Kumar , 21, India

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3 solutions

Venture Hi
Jun 5, 2015

I think the answer is 180 dollars and the number of original students is 20.

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Can you please write the solution.?

Harsh Kumar - 6 years ago

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Explanation. 180 dollars divided between 20 students would be 9 dollars each. Two students dropped out, leaving 18 students. With that, the 180 divided by the 18 students equals 10 dollars (each student had to pay one more dollar than previously)

Josiah John - 5 years, 11 months ago

Well yes you are correct..but please can you explain.?

Harsh Kumar - 6 years ago
Ron Gallagher
May 10, 2019

Let x be the cost per student, and N be the original number of students. The total cost of the headset is then Nx = (N-2) (x+1) (from what is given). Expanding and simplifying yields x = N/2 - 1. Thus, Nx = N (N/2 - 1) = .5 N^2-N. But, since Nx is the total cost, which is between 170 and 195, we have 170 < .5 N^2-N < 195. The only integer solution to this inequality is N = 20. The total cost of the recorder is now .5*20^2-20 = 180.

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Jingyang Tan
Jul 6, 2015

C'mon. this is sheer stupidity

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