At a fitness center, the number of male members increases by 20% to 96 and the number of female members decrease by 30% to 84. Find the overall increase or decrease in the total number of members.
60 is the increase and 30 is the decrease.
Am I right?
see your previous post...
No, you are not right.
The increase is 16 and the decrease is 36.
To find the overall increase or decrease in the total number of members, we need to subtract the initial total number of members from the final total number of members.
Let's start by finding the initial total number of members.
Given that the number of male members increased by 20% to 96, we can set up the equation:
Initial number of male members + 20% of initial number of male members = 96
Let's say the initial number of male members is "M". Therefore, we can write the equation as:
M + 0.2M = 96
Combining like terms, we get:
1.2M = 96
Dividing both sides by 1.2, we find:
M = 96 / 1.2
M = 80
So, the initial number of male members is 80.
Similarly, given that the number of female members decreased by 30% to 84, we can set up the equation:
Initial number of female members - 30% of initial number of female members = 84
Let's say the initial number of female members is "F". Therefore, we can write the equation as:
F - 0.3F = 84
Combining like terms, we get:
0.7F = 84
Dividing both sides by 0.7, we find:
F = 84 / 0.7
F = 120
So, the initial number of female members is 120.
Now, let's find the final total number of members by adding the number of male and female members:
Final total number of members = Initial number of male members + Initial number of female members
Final total number of members = 80 + 120
Final total number of members = 200
The initial total number of members is the sum of the initial number of male and female members:
Initial total number of members = Initial number of male members + Initial number of female members
Initial total number of members = 80 + 120
Initial total number of members = 200
Finally, to find the overall increase or decrease in the total number of members, subtract the initial total number of members from the final total number of members:
Overall increase or decrease = Final total number of members - Initial total number of members
Overall increase or decrease = 200 - 200
Overall increase or decrease = 0
Therefore, there is no overall increase or decrease in the total number of members.