Question

Ticket rate for the science exhibition is rupees 10 for children and 25 rupees for adult. RS. 740 was got from 50 persons. How many children among them?

Answer 1

Let the number of children be ‘a’

Number of adults be ‘b’

Total cost of ‘a’ children = 10a

Total cost of ‘b’ adults = 26b

Now as per first condition:

Total cost is 720

Therfore first equation will be:

10a + 26b = 740

Now per second condition:

Total number of persons is 50

Therefore second equation will be:

a + b = 50

Which can be transformed into :

a = 50 - b

Now lets put the value of ‘a’ into first equation:

10(50-b) + 26b = 740

500 - 10b + 26b = 740

500 + 16b = 740

16b = 740 - 500

16b = 240

Now dividing whole equation by 16:

b = 15

Now putting value of b in second equation:

a + 15 = 50

a = 50–15

a = 35

Thus, there are 35 children and 15 adults