SOLUTION: Maria paints portraits that she sells for $30 each. Her cost, C, is C= 160+16n, where n = number of portraits sold. Write an inequality to represent the number of portraits she nee

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Maria paints portraits that she sells for $30 each. Her cost, C, is C= 160+16n, where n = number of portraits sold. Write an inequality to represent the number of portraits she nee      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 501784: Maria paints portraits that she sells for $30 each. Her cost, C, is C= 160+16n, where n = number of portraits sold. Write an inequality to represent the number of portraits she needs to sell to earn a profit of at least $300
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Maria paints portraits that she sells for $30 each.
Her cost, C, is C= 160+16n, where n = number of portraits sold.
Write an inequality to represent the number of portraits she needs to sell to earn a profit of at least $300
:
Revenue; r = 30n
cost; c = 160 + 16n
r - c = profit; therefore
:
30n - (160+16n) => 300
30n - 160 - 16n => 300
30n - 16n = 300 + 160
14n => 460
n => 460%2F14
n => 33 portraits to make at least $300
:
:
:
Check this
30(33) = $990 revenue
160 + 16(33) = $688 cost
-----------------------
profit: $302
:
You can check this with 32 portraits and see it will be less than $300 profit