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Nadya [2.5K]
3 years ago
5

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 th

e payment by each remaining person is less than $2 than the previous. What are the possible values for x?
Mathematics
1 answer:
anzhelika [568]3 years ago
3 0

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  

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