in a wedding function their are total 1000 papad and 1000 guests* are their. if each man get 4 papad, each woman get 3 papad and each child get 1/2 papad. then how many men, women & children attended the wedding?
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The correct answer is 25 men, 165 women and 810 children.
Step-by-step explanation:
- x represents the number of men who attended the wedding, y represents the number of women and z represents children.
- So we conclude that, x + y + z = 1000. This is our first equation.
- While, 4x + 3y + z/2 = 1000. This is the second equation.
- We multiply (2) by "2" and get a third equation such as 8x + 6y + z = 2000.
- Now solving the first and third equation. 7x + 5y = 1000, 5y = 1000 - 7x, y = (1000 - 7x)/5
- Now, we use integers to infer the values of x and y i.e 25 & 165.
- Replacing the value in first equation 25 + 165 + z = 1000. We get the value of z 810.
- Now that x = 50 and y = 130. We replace these values in the first equation and get z = 820.
- On the other hand, x = 100 and y = 60. We replace these values in the first equation and get the value of z as 840.
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