SOLUTION: 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. Det

Question 254472: 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.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
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:
=
Cross multiply
3(3x) = 2(2x+ 150)
:
9x = 4x + 300
:
9x - 4x = 300
:
x =
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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