Question

A taxi is rented by a group of x people for $40 and the cost is shared equally. If there is one less person in the group then the payment by each remaining person is less than $2 than the previous. What are the possible values for x?

Answer 1

Answer:

X = 5  

Step-by-step explanation:

I think there a problem with the question, If there is one less person in the group then the payment by each remaining person is must more than $2 than the previous, because the rent cost unchanged but the number of people in the group decreased.

Before, cost per person : $\frac{40}{x}$

After cost per person:  = $\frac{40}{x -1 }$

However, the payment by each remaining person is more than $2 than the previous, so

$\frac{40}{x -1 }$  =   $\frac{40}{x}$  + 2

<=> $2x^{2}$ - 2x -40 = 0

<=> X = 5