SOLUTION: Paula makes her living by painting. She paints small portraits for 200, large landscapes for 500, and masterpieces for 10000. Paula's goal is to make at least 28000. She has alread

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Paula makes her living by painting. She paints small portraits for 200, large landscapes for 500, and masterpieces for 10000. Paula's goal is to make at least 28000. She has alread      Log On


   

Question 1125304: Paula makes her living by painting. She paints small portraits for 200, large landscapes for 500, and masterpieces for 10000. Paula's goal is to make at least 28000. She has already sold 1 masterpiece and 23 landscapes. How many portraits must she sell to reach her goal?
Answer by ikleyn(52884) About Me  (Show Source):
You can put this solution on YOUR website!
.
Based on the condition, we should solve the inequality


    10000 + 23*500 + x*200 >= 28000


for the unknown x in integer numbers.


    x >= %2828000+-+10000+-+23%2A500%29%2F200 = 32.5.


Answer.  She must sell at least 33 portraits.