SOLUTION: 1. Tickets for a play cost Php250 for adults and Php200 for children. The sponsor of the show collected a total amount of not more than Php44,000 from more than 150 adults and chil

Algebra ->  Graphs -> SOLUTION: 1. Tickets for a play cost Php250 for adults and Php200 for children. The sponsor of the show collected a total amount of not more than Php44,000 from more than 150 adults and chil      Log On


   

Question 1172992: 1. Tickets for a play cost Php250 for adults and Php200 for children. The sponsor of the show collected a total amount of not more than Php44,000 from more than 150 adults and children who watched the play.
a. What mathematical statements represent the given situation?
b. Graph the system.
c. Give two possible numbers of adults and children who watched the play. Justify your answers.
Found 2 solutions by timofer, josgarithmetic:
Answer by timofer(104) About Me  (Show Source):
You can put this solution on YOUR website!
x children and y adults

" total amount of not more than Php44,000 from more than 150 adults and children"

system%28200x%2B250y%3C=44000%2Cx%2By%3E=150%29

and you may be able to handle the rest of this.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
If x for the children and y for the adults, then this way:

4x%2B5y%3C=880
y%3C=-%284%2F5%29x%2B880
and the other inequal,
y%3E=-x%2B150

x and y must be whole non-negative numbers.
x%3E=0 and y%3E=0


You want a whole-numbered region satisfying this:
system%28y%3C=-%284%2F5%29x%2B880%2Cy%3E=-x%2B150%2Cx%3E=0%2Cy%3E=0%29