SOLUTION: OneFit, a new fitness center, starts with 100 members and grows by 20 members per month while the established fitness center ByGym has 400 members when OneFit opened and loses 10 m

Question 1157081: OneFit, a new fitness center, starts with 100 members and grows by 20 members per month while the established fitness center ByGym has 400 members when OneFit opened and loses 10 members per month. In how many months will one fit have the same number of members as ByGym?
Found 5 solutions by mananth, MathTherapy, josgarithmetic, ikleyn, greenestamps:
Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
OneFit, fitness centre has 100 members
and grows by 20 members per month
Lest x be the number of months
growth after x years = 100 +20x
ByGym has 400 members loses 10 members per month.
members after x years 400-10x
For one fit to have the same number of members as ByGym we equate both
100+2x = 400-10x
12x=300
x= 25

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

OneFit, a new fitness center, starts with 100 members and grows by 20 members per month while the established fitness center ByGym has 400 members when OneFit opened and loses 10 members per month. In how many months will one fit have the same number of members as ByGym?

25 months is WRONG. WRONG, WRONG, and WRONG, AGAIN!!!
You better NOT go along with that person's answer!
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
OneFit, 100+20x

ByGym, 400-10x

-

--------------ten months
Answer by ikleyn(52786)   (Show Source): You can put this solution on YOUR website!
.

OneFit population = 100 + 20x ByGym population = 400 - 10x 100 + 20x = 400 - 10x 10x + 20x = 400 - 100 30x = 300 x = 300/30 = 10. ANSWER. After 10 months.

Solved (correctly)

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!

ByGym starts with 300 more members than OneFit.

Each month, the relative change in numbers of members is 30 -- OneFit gains 20 and ByGym loses 10.

The number of months it will take OneFit to make up the initial difference of 300 is 300/30 = 10.

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