I need to know how to lat this problem out, please do this one so I get how to do a word problem please.

Question

A small fair charges different admission for adults and children; it charges $4.50 for adults, and $2 for children.

On a certain day, the total revenue is $3,597.50 and the fair admits 1200 people.

How many adults and children were admitted?

Answer 1

Assume A adults and C children were admitted.

 

Now we can set up equations from information given:

 

A+C=1200 (1)

A*$4.5 (total revenue collected from adults) + C*$2 (total revenue collected from children) =$3,597.50 (2)

 

From Equation 1, we get A=1200-C, replace A in Equation 2 with 1200-C:

 

(1200-C)*4.5+C*2=3597.50  =>5400-4.5C+2C=3597.50  =>1802.50=2.5C  =>C=721, A=1200-721=479

 

Answer: on that day, 479 adults and 721 children were admitted.