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andriy [413]
2 years ago
5

A group of people are having a dinner that costs $160, which is to be shared equally. If two more persons join the group and sha

re the same cost, each will pay $4 less. Find the original number of people in the group.
Mathematics
1 answer:
SVEN [57.7K]2 years ago
6 0

Answer:

8 people in the original group.

Step-by-step explanation:

Let x be the number of people who were originally present for the dinner that cost $160.  Their average cost per person would be:

$160/x

If 2 more people join, there are x+2 people.  Ignoring the awkward situation that they apparently did not order any additional food, they agree to share the cost of the dinner.  The average cost is now:

$160/(x+2)

We are told that this new average is now $4 less per person.

$160/(x+2) = ($160/x)  - $4

$160 = (($160/x)  - $4)(x+2)

x = 8 people

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Step-by-step explanation: The length is represented by L and the width is represented by W in the expression above.

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