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

X = 5

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 :
`(40)/(x)`

After cost per person: =
`(40)/(x -1 )`

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

`(40)/(x -1 )` =
`(40)/(x)` + 2

<=>
`2x^(2)` - 2x -40 = 0

<=> X = 5