The entry ticket to a local football game costs $10 for an adult and $5 for a child. A group of 100 people paid an entry fee of $710. How many adults and how many children were there in this group?

Adults = 58

Children = 42

Step-by-step explanation:

Let adults be denoted as a

Let Children be denoted as c

a + c = 100 i

10a + 5c = 710 ii

Multiply I by 5

Multiply ii by 1

5a + 5c = 500 iii

10a + 5c = 710 iv

Subtract iii from iv

5a = 210

a = 210/5

a = 42

Since a + c = 100

c = 100 - 42 = 58.

Adults = 58

Children = 42

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