SOLUTION: Paint Town sold 45 paintbrushes, one kind at $8.50 each and another at $9.75 each. In all, $398.75 was taken in for the brushes. How many of each kind were sold?

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Paint Town sold 45 paintbrushes, one kind at $8.50 each and another at $9.75 each. In all, $398.75 was taken in for the brushes. How many of each kind were sold?       Log On


   

Question 152834: Paint Town sold 45 paintbrushes, one kind at $8.50 each and another at $9.75 each. In all, $398.75 was taken in for the brushes. How many of each kind were sold?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let's call the number of $8.50 paintbrushes, E.
Let's call the number of $9.75 paintbrushes, N.
"Paint Town sold 45 paintbrushes"
1.E%2BN=45
"In all, $398.75 was taken in for the brushes"
2.8.50%2AE%2B9.75%2AN=398.75
Use eq. 1 to solve for E as a function of N.
1.E%2BN=45
E=45-N
Now substitute that expression into eq. 2 and solve for N.
2.8.50%2AE%2B9.75%2AN=398.75
8.50%2A%2845-N%29%2B9.75%2AN=398.75
Let's multiply both sides by 100 to get rid of the decimal.
850%2A%2845-N%29%2B975%2AN=39875
38250-850N%2B975N=39875
125N=1625
highlight%28N=13%29
From above,
E=45-N
E=45-13
highlight%28E=32%29