<PRE><B>Question 254472</B>
The membership ratio of adults to minors at the Racquet Club is 3:2.
A membership drive was held and 150 minors joined the club.
 The new ratio of adults to minors is now 2:3. 
Determine the new total membership of the Racquet Club.
:
Let x = the multiplier
then
3x = original no. of adults
2x = original no. of minors
:
New ratio with 150 more minors:
{{{(3x)/((2x+150))}}} = {{{2/3}}}
Cross multiply
3(3x) = 2(2x+ 150)
:
9x = 4x + 300
:
9x - 4x = 300
:
x = {{{300/5}}}
x = 60 is the multiplier
:
New membership
3 * 60 = 180 adults
2*60 + 150 = 270 minors
-------------------------
Total mem: 450 member now
;
:
See if that checks out
180/270 = 2/3
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