A woman bought some large frames for ​$13 each and some small frames for ​$8 each at a closeout sale. If she bought 27 frames for ​$261​, find how many of each type she bought.

Question

She bought ? large frames.

Answer 1

Let me get you started on this one with the equations.

You have 2 unknowns, so you will need to define 2 variables.

Let x = the number of small frames

Let y = the number of large frames

Since you have 2 variables, you have to have 2 equations to solve the problem

Equation 1: The number of frames totals 27

x+y=27

Equation 2: The cost of the frames is 261

8x+13y=261

Solve the first equation for y

y=27-x

Plug this into the second equation

8x+13(27-x)=261

Now there is one equation one unknown. Can you solve for x? This will be the number of small frames.