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oee [108]
3 years ago
9

A group of students planned to chip in to raise a total of $100 for one of their friends’ birthday party but 5 persons couldn’t

come so they didn’t pay. This increased the share of the others by $1 each. Find the amount that each person paid after
Mathematics
1 answer:
lilavasa [31]3 years ago
8 0

Answer:

$5

Step-by-step explanation:

Let the number of students be x, then

<u>Initial amount per student was:</u>

  • 100/x

<u>After it becomes:</u>

  • 100/(x - 5)

<u>Since amount increased after, it can be shown as:</u>

  • 100/x + 1 = 100/(x - 5)

<u>Multiply each term by x(x - 5) to get rid of the fraction:</u>

  • 100(x-5) + x(x - 5) = 100x
  • 100x - 500 + x² - 5x - 100x = 0
  • x² - 5x - 500 = 0

<u>Positive solution of this quadratic equation is </u>

  • x = 25

<u>Amount each person paid after:</u>

  • $100 / (25 - 5) = $5

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