How many who were senior citizens?

Question

The Family Fine Arts Center charges $20 per adult and $10 per senior citizen for its performances. Om a recent weekend when 447 people paid admission, the total receipts were $5730. How many who paid were senior citizens?

Answer 1

LET X BE THE NUMBER OF SENIOR CITIZENS

 

 

THERE WERE A TOTAL OF 447 PEOPLE, THEREFORE:

 

(447-X) = NUMBER OF ADULTS

 

TOTAL RECEIPTS =  $5,730

 

 

ADULTS PAYMENTS + SENIOR PAYMENTS=  $5,730

20(447-X) +  10X =  $5730

 

8,940-20x+10X= 5,730

 

$8,940-10X=$5,730              (SUBTRACT $8,940 FROM BOTH SIDES)

 

-10X= -3,210                                 3210/10

 

X= 321     (NUMBER OF SENIORS)

 

 

NUMBER OF ADULTS = 447-321 =126 ADULTS

 

 

SOLUTION CHECK   :   20(126)+10(321)=

 

2520+3210=5730

 

GOOD LUCK IN YOUR STUDIES!!!!