Tickets to a baseball game are $11 for adults and $6 for kids. If 20 more kids tickets are sold than adult tickets, how many of each kind of ticket was sold is a total of 9300 is taken in. i need to write an equation, identify the variable and solve.

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