The admission fee at an amusement park is $1.25 for children and $6.40 for adults. On a certain day, 325 people entered the park, and the ad

 

The admission fee at an amusement park is $1.25 for children and $6.40 for adults. On a certain day, 325 people entered the park, and the admission fees collected totaled 1050 dollars. How many children and how many adults were admitted?     

 

A_dults + C_hildren  =  325      ——>>     A  =  325 – C     

6.40A + 1.25C  =  1050     substitute (325 – C) for A in this equation     

 

(6.40)(325 – C) + (1.25)(C)  =  1050     

        2080 – 6.40C + 1.25C  =  1050     

                               – 5.15C  =  – 1030     

                                         C  =  200     

 

                                         A  =  325 – C     

                                         A  =  325 – 200     

                                         A  =  125     

 

check answer     

 

Does (6.40)(125) + (1.25)(200)  =  1050 ?     

                    800  +  250             =  1050  true     

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