SOLUTION: Snookers lumber can convert logs into either lumber or plywood. In a given day, the mill turns out twice as many units of plywood as lumber. It makes a profit of $20 on a unit of l

Algebra ->  Linear-equations -> SOLUTION: Snookers lumber can convert logs into either lumber or plywood. In a given day, the mill turns out twice as many units of plywood as lumber. It makes a profit of $20 on a unit of l      Log On


   



Question 182987: Snookers lumber can convert logs into either lumber or plywood. In a given day, the mill turns out twice as many units of plywood as lumber. It makes a profit of $20 on a unit of lumber and $45 on a unit of plywood. How many of each unit must be produced and sold in order to make a profit of $11110?
Snookers lumber must produce and sell ___ units of lumber and ___ units of plywood to make a profit of $11110.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let a= units of lumber produced
Let b= units of plywood produced
given:
b+=+2a
20a+%2B+45b+=+11110
Substituting:
20a+%2B+45%2A%282a%29+=+11110
20a+%2B+90a+=+11110
110a+=+11110
a+=+101
and
b+=+2a
b+=+2%2A101
b+=+202
101 units of lumber must be produced and 202 units of plywood
check answer:
20a+%2B+45b+=+11110
20%2A101+%2B+45%2A202+=+11110
20a+%2B+45b+=+11110
2020+%2B+9090+=+11110
11110+=+11110
OK