In an office, there were 24 more females than males. 60% of the workers were females. How many workers are there in total?
There are f + f-24 workers.
f = 3/5 (2f-24)
No. You do some of the work, ok?
If you solve for f, then as I said, there are f + f-24 workers altogether.
still stuck? Then the next step is
5f = 3(2f-24)
Thanks, it worked out
To find the total number of workers in the office, we need to determine the number of males and females separately. Let's go step by step:
Step 1: Set up equations:
Let's assume the number of males in the office is "x."
According to the given information, the number of females would then be "x + 24" (as there are 24 more females than males).
Step 2: Calculate the percentage:
We are told that 60% of the workers are females. So, the number of females is equal to 60% of the total number of workers:
0.60 * (x + (x + 24)) = x + 24
Step 3: Simplify the equation:
Multiply 0.60 with x and x+24 to distribute the 0.60:
0.60x + 0.60(x + 24) = x + 24
Step 4: Solve for x:
Expand 0.60(x + 24):
0.60 x + 0.60x + 14.40 = x + 24
Combine like terms:
1.20x + 14.40 = x + 24
Subtract x from both sides to gather like terms on one side of the equation:
1.20x - x + 14.40 = 24
Simplify:
0.20x + 14.40 = 24
Step 5: Isolate x (the number of males) by subtracting 14.40 from both sides of the equation:
0.20x + 14.40 - 14.40 = 24 - 14.40
0.20x = 9.60
Step 6: Solve for x by dividing both sides of the equation by 0.20:
(0.20x) / 0.20 = 9.60 / 0.20
x = 48
Therefore, there are 48 males in the office.
Step 7: Calculate the total number of workers:
If there were 48 males, then the number of females would be 48 + 24 = 72.
The total number of workers (males + females) would be 48 + 72 = 120.
Hence, there are a total of 120 workers in the office.