A debt of $450 is to be shared equally among the members of the Outing Club. When five of the members refuse to pay, the other m

X = Number of members

<span>450 / x = Share per person </span>

<span>(450 / x) + 3 = Increase of three dollars </span>

<span>(450 / (x - 5)) = Share per person minus the five non-payers </span>

<span>(450 / x) + 3 = 450 / (x - 5) </span>

<span>Now solve for x... </span>

<span>450 + 3x = 450x / (x - 5) </span>

<span>450(x - 5) + 3x(x - 5) = 450x </span>

<span>450x - 2250 + 3x² - 15x - 450x = 0 </span>

<span>3x² - 15x - 2250 = 0 </span>

<span>3(x - 30)(x + 25) = 0 </span>

<span>x = 30, -25 </span>

<span>The negative value is disregarded... </span>

<span>x = 30 members</span>