document.write( "Question 816271: [ members of the computer club were assessed equal amounts to raise $1200 to buy new software. When 8 [NEW] members joined, the per-member assessment was reduced by $7.50. What [IS] the new size of the club? ] \n" ); document.write( "
Algebra.Com's Answer #491449 by TimothyLamb(4379)\"\" \"About 
You can put this solution on YOUR website!
1200 = (p - 7.50)(n + 8)
\n" ); document.write( "1200 = pn
\n" ); document.write( "p = 1200/n
\n" ); document.write( "---
\n" ); document.write( "1200 = (p - 7.50)(n + 8)
\n" ); document.write( "1200 = pn + 8p - 7.50n - 60
\n" ); document.write( "1260 = pn + 8p - 7.50n
\n" ); document.write( "1260 = (1200/n)n + 8(1200/n) - 7.50n
\n" ); document.write( "1260 = 1200 + 9600/n - 7.50n
\n" ); document.write( "60 = 9600/n - 7.50n
\n" ); document.write( "60n = 9600 - 7.50nn
\n" ); document.write( "7.50n^2 + 60n - 9600 = 0
\n" ); document.write( "---
\n" ); document.write( "the above quadratic equation is in standard form, with a=7.5, b=60, and c=-9600
\n" ); document.write( "---
\n" ); document.write( "to solve the quadratic equation, plug this:
\n" ); document.write( "7.5 60 -9600
\n" ); document.write( "into this: https://sooeet.com/math/quadratic-equation-solver.php
\n" ); document.write( "---
\n" ); document.write( "the roots of the quadratic are:
\n" ); document.write( "n = 32
\n" ); document.write( "n = -40
\n" ); document.write( "---
\n" ); document.write( "the negative root doesn't make sense for the size of the club (number of members), so use the positive root
\n" ); document.write( "---
\n" ); document.write( "Answer:
\n" ); document.write( "the old size of the club is 32 members
\n" ); document.write( "the new size of the club is 40 members
\n" ); document.write( "---
\n" ); document.write( "the old per-member assessment was: 1200/32 = $37.50
\n" ); document.write( "the new per-member assessment is: 1200/40 = $30.00
\n" ); document.write( "---
\n" ); document.write( "Solve and graph linear equations:
\n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php
\n" ); document.write( "---
\n" ); document.write( "Solve quadratic equations, quadratic formula:
\n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php
\n" ); document.write( "---
\n" ); document.write( "Convert fractions, decimals, and percents:
\n" ); document.write( "https://sooeet.com/math/fraction-decimal-percent.php
\n" ); document.write( "---
\n" ); document.write( "Calculate and graph the linear regression of any data set:
\n" ); document.write( "https://sooeet.com/math/linear-regression.php \n" ); document.write( "
\n" );