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?
pls send me ans
To find the price of an adult pass, we can use algebraic equations.
Let's assume the cost of a children pass is x.
According to the given information, the rate of an adult pass is Rs. 20 more than the children pass. Therefore, the cost of an adult pass is x + Rs. 20.
The amount collected from selling 50 adult passes and 200 children passes is Rs. 2250.
To calculate this, we need to multiply the number of passes sold by their respective prices and add them together:
50 * (x + Rs. 20) + 200 * x = Rs. 2250
Now, let's solve this equation to find the value of x (the cost of a children pass):
50x + 50 * Rs. 20 + 200x = Rs. 2250
50x + 1000 + 200x = Rs. 2250
250x = Rs. 2250 - 1000
250x = Rs. 1250
x = Rs. 1250 / 250
x = Rs. 5
So, the cost of a children pass (x) is Rs. 5.
Now, let's find the price of an adult pass by adding Rs. 20 to the cost of a children pass:
x + Rs. 20 = Rs. 5 + Rs. 20 = Rs. 25
Therefore, the price of an adult pass is Rs. 25.