Question

For a United Way fund-raising dinner, a total of 245 tickets were sold. Adult tickets sold for $6.50, and child tickets sold for $3.00. If $1410.50 worth of tickets were sold, how many adult and child tickets were sold?

Answer 1

Adults =193

children=52

Explanation:

Step one:

let the number of tickets adults be x

and the number of tickets children be y

x+y=245--------1

6.5x+3y=1410.5---2

Step two:

solve the system of equation using substitution

x+y=245

x=245-y

put x=245-y in equation 2 we have

6.5(245-y)+3y=1410.5

1592.5-6.5y+3y=1410.5

-6y+3y=1410.5-1592.5

-3.5y=-182

y=182/3.5

y=52

put y=52 in x=245-y

x=245-52

x=193