Q1 of 33 Page 44

Ticket rate for the science exhibition is 10 rupees for a child and 26 rupees for an adult. 740 rupees was got from 50 persons. How many children among them?

Let number of adults be x

Since, total number of persons is 50


Number of children = 50-x


Ticket rate for a child is 10 rupees


∴ ticket rate of 50-x children = 10(50-x) = 500-10x rupees


Ticket rate of an adult is 26 rupees


∴ ticket rate of x adults = 26x rupees


Total amount collected = 740 rupees


⇒ 26x + 500-10x = 740


⇒ 16x + 500 = 740


⇒ 16x = 740-500


⇒ 16x = 240


⇒


⇒x = 15


Hence, Number of children = 50-x = 50-15 = 35


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