There are 140 cakes in a bucket, and 80 more cakes are added to the bucket. If the cakes are distributed between males and females in the ratio of 7:4, what is the difference between the total number of cakes received by males and females?

To find the difference between the total number of cakes received by males and females, we can follow these steps:

Step 1: Calculate the total number of cakes in the bucket.
Initially, there are 140 cakes in the bucket.
Then, 80 more cakes are added.
Total number of cakes = 140 + 80 = 220 cakes.

Step 2: Understand the distribution ratio.
The cakes are distributed between males and females in the ratio of 7:4.
This means for every 7 parts received by males, females receive 4 parts.
Total parts = 7 + 4 = 11 parts.

Step 3: Determine the value of one part.
Since the total 220 cakes correspond to the total 11 parts:
Value of 1 part = 220 / 11 = 20 cakes.

Step 4: Find the difference in parts between males and females.
Males receive 7 parts and females receive 4 parts.
Difference in parts = 7 - 4 = 3 parts.

Step 5: Calculate the difference in the number of cakes.
Since each part represents 20 cakes:
Difference in cakes = 3 parts × 20 cakes/part = 60 cakes.

Therefore, the difference between the total number of cakes received by males and females is 60.