zoo question

Question

The Cincinnati Zoo charges ?$10 for each adult admission and ?$7 for each child. The total bill for the 224 people from a school trip was ?$1649 . How many adults and how many children went to the? zoo?  

Answer 1

a = number of adults

c = number of children

 

The set of equations is: 

a + c = 224

10*a+7*c=1649

 

a=224-c

10*(224-c)+7*c=1649

 

a=224-c

2240-10*c+7*c=1649

 

a=224-c

3c=591

 

a=224-197=27

c=197