Answer:
Equation, 17 a+120=9,300, where a is the adult ticket sales
Total number of adult ticket sales=540
Total number of kid ticket sales=560
Step-by-step explanation:
Step 1
Express the number of tickets sold for each group of people;
let adult ticket sales=a
kids ticket sales=adult sales+20=a+20
kids ticket sales=a+20
Step 2
Express the total amount of sales taken in;
total amount=(price per adult ticket×number of adult ticket sales)+(price per kid ticket×number of kid ticket sales)
where;
total amount=9,300
price per adult ticket=$11
number of adult ticket sales=a
price per kid ticket=$6
number of kid ticket sales=a+20
replacing;
9,300=(a×11)+(a+20)6
9,300=11 a+6 a+120
9,300=17 a+120
Equation, 17 a+120=9,300, where a is the adult ticket sales
17 a=9,300-120
17 a=9,180
a=9,180/17=540
a=540
kid ticket sales=540+20=560
Total number of adult ticket sales=540
Total number of kid ticket sales=560