At a fitness center, the number of male members increases by 20% to 96 and the number of female members decreases by 30% to 84. Find the overall increase or decrease in the total number of members.
I got 60 is the increase and 30 is the decrease.
males increase ... 96 - (96 / 120%)
females decrease ... (84 / 70%) - 84
so is it right?
You can see that your answers do not agree with R_Scott's. Too bad you didn't see fit to show your work ...
male members increases by 20% to 96
That is, 1.20m = 96
m = 80
So, males increased by 16
female members decreases by 30% to 84
That is 0.70f = 84
f = 120
So, females decreased by 36
The net change was thus +16-36 = -20
I know what I did wrong, thanks for telling me.
Actually, I don't get how you got 1.20= 96. What did you do to get that answer?
To find the overall increase or decrease in the total number of members at the fitness center, we need to calculate the changes in both the number of male members and the number of female members.
Let's start with the number of male members. We know that the number of male members increased by 20% to 96. To find the original number of male members, we can divide 96 by 1.2 (representing a 20% increase):
Original number of male members = 96 / 1.2 = 80
Next, let's calculate the change in the number of female members. We know that the number of female members decreased by 30% to 84. To find the original number of female members, we can divide 84 by 0.7 (representing a 30% decrease):
Original number of female members = 84 / 0.7 = 120
Now, we can calculate the overall increase or decrease in the total number of members by subtracting the original total from the new total:
Original total number of members = Original number of male members + Original number of female members
= 80 + 120
= 200
New total number of members = Number of male members + Number of female members
= 96 + 84
= 180
Overall increase or decrease in total number of members = New total number of members - Original total number of members
= 180 - 200
= -20
Therefore, there has been a decrease of 20 in the total number of members at the fitness center.