SOLUTION: Snookers Lumber can convert logs into either lumber or plywood. In a given day, the mill turns out three times as many units of plywood as lumber. It makes a profit of $30 on a uni

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Snookers Lumber can convert logs into either lumber or plywood. In a given day, the mill turns out three times as many units of plywood as lumber. It makes a profit of $30 on a uni      Log On


   

Question 163340: Snookers Lumber can convert logs into either lumber or plywood. In a given day, the mill turns out three times as many units of plywood as lumber. It makes a profit of $30 on a unit of lumber and $50 on a unit of plywood. How many of each unit must be produced and sold in order to make a profit of $18360?
Snookers lumber must produce and sell ___ units of lumber and ___ units of plywood to make a profit of $18360?
Answer by elima(1433) About Me  (Show Source):
You can put this solution on YOUR website!
P=3L
equation;
30L+50P=18360
Substitute P=3L;
30L+50(3L)=18360
multiply and collect like terms;
30L+150L=18360
180L=18360
divide each side by 180;
L=102
Multiply 3(102) to find what P equals;
P=3(102)
P=306
To check our answer;
30(102)+50(306)=18360
3060+15300=18360
Snookers lumber must produce and sell 102 units of lumber and 306 units of plywood to make a profit of $18360.
:)