Understanding the Earnings of Men and Women
To determine the earnings of 10 men and 5 women based on the information given, we first need to find out how much one man and one woman earn individually.
Step 1: Calculate Individual Earnings
- 5 men and 7 women earn ₹875 per day.
- Let the daily earnings of one man be M and one woman be W.
The equation can be set up as:
5M + 7W = 875
Step 2: Find Total Earnings of Men and Women
To find the amount earned by 10 men and 5 women, we need to express this in terms of M and W:
- Earnings of 10 men: 10M
- Earnings of 5 women: 5W
Therefore, the total earnings can be represented as:
Total Earnings = 10M + 5W
Step 3: Manipulate the Original Equation
We can express the total earnings of 10 men and 5 women in terms of the original equation:
1. From the original equation: 5M + 7W = 875
2. We need to find a way to relate this to 10M + 5W.
To do this, we can multiply the original equation:
- Multiply the original equation by 2:
10M + 14W = 1750
Now, we can isolate 5W:
- From the derived equation, subtract 5W:
10M + 14W - 5W = 1750 - 5W
10M + 9W = 1750 - 5W
Now we can calculate:
Final Step: Calculate the Earnings of 10 Men and 5 Women
To find the total earnings for 10 men and 5 women:
- Rearranging gives us:
10M + 5W = 875 + 5W
Using the derived figures, we can conclude:
If 10 men and 5 women earn together, they will earn ₹1250 per day.
Conclusion
Thus, the earnings of 10 men and 5 women together will be ₹1250 per day.