Tickets to the school play cost $2.50 for general admission of $2.00 for students. On opening night 319 tickets were sold. The total receipts were $694. How many of each kind of ticket were sold?

Question

campbell_st · Answer

you have 2 equations that will need to be solved simultaneously


let g = general admission and s = students

Receipts:          2.5g + 2s = 694

attendance:          g + s = 319


the easiest way to solve is but substitution. 

rewrite the attendance equation with s as the subject and substitute it into the 1st equation. 

Then you will be able to solve for g...

anonymous · Answer

ok but how would I rewrite the equation?

campbell_st · Answer

ok... so the attendance will become 

s = 319 - g

substituting 

2.5g + 2(319 - g) = 694

you'll need to distribute and collect like terms before solving for g.

anonymous · Answer

ok thanks