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?
1 answer:
Answer:
Step-by-step explanation:
Let the number of students be x
<u>Initial share was:</u>
<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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