500 people invited for a function. Tickets for male, female and children are rupees 748, 712 and 45 respectively. The total amount collected is 3 lakh. Find the number of male, female and children.
Pls help!!
Sure, I can help you with that!
Let's assign variables to represent the number of males, females, and children attending the function. Let M represent the number of males, F represent the number of females, and C represent the number of children.
We are given the ticket prices, which are Rs. 748 for males, Rs. 712 for females, and Rs. 45 for children.
According to the information given, the total amount collected from the ticket sales is 3 lakh, which is equal to 300,000 Rs.
We can set up the following equation to represent the total amount collected:
748M + 712F + 45C = 300,000
Now, we need to find the values of M, F, and C that satisfy this equation.
The next step is to simplify this equation by dividing each term by the highest common factor. In this case, the highest common factor of 748, 712, and 45 is 1, so we can skip this step.
Now, we can use trial and error or a systematic approach to find the values of M, F, and C that satisfy the equation.
Let's start by assuming a possible value for one of the variables, such as M. We can then substitute this value into the equation and solve for the remaining variables.
Let's assume M = 200. Substituting this value into the equation, we get:
748(200) + 712F + 45C = 300,000
Simplifying this equation, we have:
149,600 + 712F + 45C = 300,000
Now, let's use trial and error or a systematic approach to find the values of F and C that satisfy this equation.
For example, we can assume F = 100 and substitute it into the equation:
149,600 + 712(100) + 45C = 300,000
Simplifying this equation, we have:
149,600 + 71,200 + 45C = 300,000
Now, we can solve for C:
220,800 + 45C = 300,000
45C = 300,000 - 220,800
45C = 79,200
C = 79,200 / 45
C = 1,760
So, assuming M = 200 and F = 100, we find that C = 1,760.
Therefore, the number of males is 200, the number of females is 100, and the number of children is 1,760.