Ticket for the science exhibition is 10 rupees for a child and 26rupees for an adult. 740 rupees was got from 50persons. How many children among them?
what facts do you have?
count the people: c+a = 50
count the money: 10c + 26a = 740
Now just solve for c.
To find the number of children among the 50 persons, we can use a system of equations.
Let's assume that there are 'x' children among the 50 persons. Since we know that the ticket price for a child is 10 rupees, the total cost of children's tickets would be 10 * x.
The remaining people would be adults, which can be expressed as (50 - x). As the ticket price for an adult is 26 rupees, the total cost for adult tickets would be 26 * (50 - x).
Since the total amount collected from both the children and adults was 740 rupees, we can write the equation:
10 * x + 26 * (50 - x) = 740
Simplifying the equation:
10x + 1300 - 26x = 740
-16x + 1300 = 740
-16x = -560
x = -560 / -16
x = 35
Therefore, there are 35 children among the 50 persons.