SOLUTION: In 2005, the members of a club paid a total of $42 in subscription fees. In 2006, the number of members increased by 20 and the subscription fees were subsequently reduced by 10 ce

Question 401405: In 2005, the members of a club paid a total of $42 in subscription fees. In 2006, the number of members increased by 20 and the subscription fees were subsequently reduced by 10 cents per member. The total of the subscription fees for 2006 was $45. How many members were there in 2005?
:) =)
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
In 2005, the members of a club paid a total of $42 in subscription fees.
In 2006, the number of members increased by 20 and the subscription fees were
subsequently reduced by 10 cents per member.
The total of the subscription fees for 2006 was $45. How many members were there in 2005?
:
Let n = original no. of members in 2005
then
(n+20) = no. of members in 2006
:
2005 cost/member - 2006 cost/member = $.10
- = .10
:
multiply eq by n(n+2), results:
42(n+20) - 45n = .10n(n+20)
:
42n + 840 - 45n = .1n^2 + 2n
:
-3n + 840 = .1n^2 + 2n
;
Arrange as a quadratic equation
.1n^2 + 2n +3n - 840 = 0
:
.1n^2 + 5n - 840 = 0
:
Multiply by 10 to get rid of the decimal, results:
n^2 + 50n - 8400 = 0
:
you can use the quadratic formula, but this will factor to:
(n-70) (n+120) = 0
the positive solution
n = 70 members in 2005
:
:
Check this (90 members in 2006), find the cost per member in each year.
42/70 - 45/90 =
.60 - .50 = .10 reduction
RELATED QUESTIONS
Last year, there were 30 male members and 20 female members in a Chess Club. This year,... (answered by ikleyn)

In 2006 the number of Americans who were members of a health club was 42.7 million. This (answered by drj)

the number of members in the recycling club increased by 15 people if the club had 12... (answered by macston)

Hi The tennis club and badminton club have a total of 109 members. The number of boys in (answered by ikleyn,EPMcCravy,greenestamps)

Nineteen members, or 38%, of the ski club are going on a ski trip. Find the total number (answered by josmiceli)

The members of a College staff club were asked to indicate the brand of beer they drink.... (answered by richwmiller)

The members of a College staff club were asked to indicate the brand of beer they drink.... (answered by math_tutor2020,MathTherapy)

A sports club has 36 chess players. If 6% of the total number of members in the club are... (answered by Cromlix)

A sports club has 21 basketball players. If 12% of the total number of members in the... (answered by jorel555)