student field trip

Question

A students field trip costs $120. Eight less students were able to attend than planned. As a result the price per student increased by $0.50. How many students attended the trip?

Answer 1

s represents the number of students

c represents the cost per student

120 / s = c

120 /(s - 8) = c + 0.50

120 / s = c

[120 / (s - 8)] - 0.50 = c

120 / s = [120 / (s - 8)] - 0.50

120(s - 8) = 120s - 0.50(s)(s - 8)

120s - 960 = 120s - 0.50s² + 4s

-960 = -0.50s² + 4s

0 = -05x² + 4x + 960

0 = x² - 8x - 1920

0 = (x - 48)(x + 40)

48 students started

$120 / 48 = $2.50

$120 / 40 = $3.00