Question 755882
Q:
The computer club bought a $300 computer, the members sharing the cost equally. If there had been 5 more members in the club each would have paid $5 less. How many members were in the club?
--------------------------------------------------
A:
Let x = number of members in the club
{{{300/x - 300/(x + 5)}}} = 5, multiply both sides by x(x + 5)
{{{300(x + 5) - 300x }}} = 5x(x + 5)
{{{5x^2 + 25x - 1500}}}, divide both sides by 5
{{{x^2 + 5x - 300 = 0}}}
(x - 15)(x + 20) = 0
x - 15 = 0 OR x + 20 = 0
x = {{{highlight(15)}}}, disregard x = -20
Number of members: {{{highlight(15)}}}