SOLUTION: suppose your school is having a dinner to raise money for new music and art supplies. You estimate that 200 children and 150 adults will attend. write an equation to find what tick

Algebra ->  Linear-equations -> SOLUTION: suppose your school is having a dinner to raise money for new music and art supplies. You estimate that 200 children and 150 adults will attend. write an equation to find what tick      Log On


   

Question 1107516: suppose your school is having a dinner to raise money for new music and art supplies. You estimate that 200 children and 150 adults will attend. write an equation to find what ticket prices you should set to raise $900?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Children can come to dinner for free.
c, child price, 0
a, adult price, a
200%2A0%2B150a=900

a=6
-

Children not come for free?
200c%2B150a=900
20c%2B15a=90
highlight_green%284c%2B3a=18%29-----this is all you can do unless there are other facts to use. a and c will be greater than 0, and a%3Ec.

You CAN look for whole-number combinations that fit the equation such that a%3Ec.

3a=-4c%2B18
highlight_green%28a=-%284%2F3%29c%2B6%29

If vertical axis is adults price and horizontal axis is children price,
graph%28400%2C400%2C-1%2C7%2C-1%2C7%2C-%284%2F3%29x%2B6%29

You can also accept rational values in addition to maybe whole numbers, and pick c%3C2 and find the corresponding a.