In a show the rate of an adult pass is Rs. 20 more then the children pass. when a company sold 50 adult passes and 200 children passes,the amount collected is rs.2250. find the price of an adult pass?
Let A = price of adult pass and C = price of child's pass.
A = C + 20
50A + 200C = 2250
Substitute C+20 for A in second equation and solve for C. Insert that value into the first equation and solve for A. Check by inserting both values into the second equation.
for a charity show the rate of adult passes Rs.20 more than the children pass.when a company sold 50 adult and 200 children passes,the amount collected is Rs.2250.find the price of an adult pass.
To find the price of an adult pass, let's assume the price of a child pass is x rupees. Since the rate of an adult pass is Rs. 20 more than the children pass, the price of an adult pass would be (x + 20) rupees.
Given that the company sold 50 adult passes and 200 children passes and collected a total of Rs. 2250, we can set up the following equation:
50(adult pass price) + 200(child pass price) = 2250
Replacing the variables with the values we know:
50(x + 20) + 200(x) = 2250
Now, we can simplify and solve this equation to find the value of x:
50x + 1000 + 200x = 2250
250x + 1000 = 2250
250x = 2250 - 1000
250x = 1250
x = 1250 / 250
x = 5
So, the price of a child pass is 5 rupees. Now we can find the price of an adult pass:
Adult pass price = Child pass price + 20
Adult pass price = 5 + 20
Adult pass price = 25
Therefore, the price of an adult pass is Rs. 25.