Question

Admission to a home and garden show cost $7 per person during the week and $9 per person on the weekend. During one week of the show, a total of $142,506 was paid in admission. This situation can be represented by the equation 7x+9y=142,506 where x is the number of tickets sold during the week and y is the number of tickets sold on the weekend.

Answer 1

The answer is 8834 y =

Answer 2

For b) you already have two possibilities, since you have the intercepts. 
(20358, 0) and (0,15834) are two possible points, although not very likely. 

Solve for y: y= (-7/9)x + 15834 

Any multiple of 9 will give whole number answers. 

Let x= 9 
Then y= (-7/9)(9)+ 15834 
Y= 15827 

If you want more reasonable answers, let x= 9000 
Then y= (-7/9)(9000)+ 15834 
Y= 8834