Please Help!!!

Question

Joe is going to the electronics store to buy disposable cell phones and pocket tv's. He has 1,500 dollars to spend at the store. He bought fewer than 20 disposables. Each cell phone costs 60.35 and every tv cost's 99.9. Create a system of inequalities to represent the situation. And give 3 possible combinations of disposables that joe could have bought.

Answer 1

Let C = number of cell phones  

Let T = number of tv's  

 

Fewer than 20 disposables  ==>  C + T < 20 

 

Cost equation:  99.9*T + 60.35*C ≤ 1500  

 

He can't buy fewer than 0 of either so additional constraints are D ≥ 0  and  T ≥ 0  

 

You can pick out 3 combinations of C and T that satisfy these constraints.  For example, if he bought 10 tv's that would cost him 999 which would leave 1500 - 999 = 501 for the cell phones so he could buy 8 cell phones for 482.8