A group of x students hired a bus for ₹3600 and shared the cost equally. Had 6 more students joined, each would have paid ₹30 less, giving x^2 + 6x - 720 = 0. How many students were in the group?

Question

Accepted Answer

24. D = 36 + 2880 = 2916, √D = 54. x = -6 ± 54/2 = 24 or -30. A count must be positive, so 24 students paid ₹150 each; 30 students would have paid ₹120 each — exactly ₹30 less.

A group of $x$ students hired a bus for ₹3600 and shared the cost equally.
Had 6 more students joined, each would have paid ₹30 less, giving
$x^{2} + 6 x - 720 = 0$ . How many students were in the group?

Step-by-Step Solution

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More Class 10 The Quadratic Formula practice

A group of x students hired a bus for ₹3600 and shared the cost equally.Had 6 more students joined, each would have paid ₹30 less, givingx2+6x−720=0. How many students were in the group?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 The Quadratic Formula practice

A group of $x$ students hired a bus for ₹3600 and shared the cost equally.
Had 6 more students joined, each would have paid ₹30 less, giving
$x^{2} + 6 x - 720 = 0$ . How many students were in the group?