Question

Christine is selling tickets at a museum. She knows that she has sold at least 40 tickets. The adult tickets

Answer 1

Answer:

Adult tickets cost $80, children ticket cost $40

Step-by-step explanation:

Given data

let the number of adults be x

and the number of children be y

so

x+y= 40-------------1

The adult tickets

cost 14 dollars and the children’s tickets cost 12 dollars.

14x+ 12y=  720-------2

solve 1 and 2

x+y= 40

14x+ 12y=  720

from 1

x= 40-y

put this in 2 in place of x

14(40-y)+12y= 720

560-14y+12y= 720

collect like terms

-2y= 720-560

-2y= 160

y= -160/2

y= -80

put y= 80 in 1

x+80= 40

x= 40-80

x= -40

Hence Adult tickets cost $80, children ticket cost $40