Problema Solution

a woman bought some large frames for 19 dollars each and some small frames for 9 dollars each at a closeout sale. If she bought 20 frames for 220 dollars, how many of each did she buy?

Answer provided by our tutors

Let

x = the number of large frames

y = the number of small frames

She bought 20 frames altogether:

x + y = 20

She spent $200 on the frames:

19x + 9y = 200

We have the following system of equations:

x + y = 20

19x + 9y = 200

........

click here to see the system of equations solved for x and y

........

x = 2 large frames

y = 18 small frames

The woman bought 2 large frames and 18 small frames.