posted by Nessie .
Translate each situation to a system of equations. Do not attempt to solve.
Paint Town sold 45 paintbrushes, one kind at $8.50 each and another at $9.50 each. In all, $398.75 was taken in for the brushes. How many of each kind were sold?
My teacher told me that I would probably have to make two equations and each one would have two variables.
I do not need to know how to solve, I just do not know how to make equations from the information provided.
Let x be the number of expensive paintbrushes and y be the number of inexpensive ones.
Clearly, x + y = 45 is one of the equations
The other equation says how much money was spent, expressed in terms of x and y.
___x + ___y = 38.75
Make an attempt at that. Fill in the blanks with the prices of each. Then solve the pair of equations