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Fudgin [204]
3 years ago
10

The $120 cost of the field trip was to be shared equally by all those attending. Since 8 less students attended than were expect

ed, the price per person increased by $0.50. How many students went on the field trip?
Mathematics
1 answer:
Umnica [9.8K]3 years ago
7 0

Answer:

  • 52

Step-by-step explanation:

Let the number of students be x

<u>Initial share was:</u>

  • 120/x

<u>With the less students the share is:</u>

  • 120 /(x - 8) = 120/x + 0.5

<u>Solve for x:</u>

  • 120 /(x - 8) = 120/x + 0.5
  • 120x = 120(x - 8) + 0.5x(x - 8)
  • 120x = 120x - 960 + 0.5x² - 4x
  • 0.5x² - 4x - 960 = 0
  • x² - 8x - 1920 = 0
  • x² - 8x + 16 = 1936
  • (x - 8)² = 1936
  • x - 8 = √1936
  • x - 8 = 44
  • x = 52

52 students

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