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?

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) (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.
"In all, $398.75 was taken in for the brushes"
2.
Use eq. 1 to solve for E as a function of N.
1.

Now substitute that expression into eq. 2 and solve for N.
2.

Let's multiply both sides by 100 to get rid of the decimal.

From above,

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