Question

Cost of admission to a town fair was $8 for adults and $5 for children. If 206 people

attended the fair, and ticket sales totaled $1408, how many adult tickets were sold?


Help

Answer 1

126 adult tickets

Explanation:

Step one:

let the number of adults be x

and the number of children be y

cost of tickets $8 for adults and $5 for children

total tickets is 206

total money made=$1408

Step two:

The system of equation is

x+y=206--------1

8x+5y=1408-----2

from 1 x=206-y

put x=206-y in equation 2 we have

8(206-y)+5y=1408

1648-8y+5y=1408

-3y=1408-1648

-3y=-240

divide both sides by -3

y=80 children tickets

put y=80 in x+y=206--------1

x+80=206

x=206-80

x=126 adult tickest

126 adult tickest