A woman bought some large frames for ​$13 each and some small frames for ​$9 each at a closeout sale. If she bought 22 frames for ​$222​, find how many of each type she bought.

Question

A woman bought some large frames for

​$13

each and some small frames for

​$9

each at a closeout sale. If she bought

22

frames for

​$222,

find how many of each type she bought.

Answer 1

Malcolm,

This is a system of equations word problem. In this type of problem the task is to build two equations, so you need to find the two totals provided.In this case the totals are:

22 frames and 222 dollars

how do we arrive at 22? by adding small frames and large frames,

The equation for this can be written as S + L =22

How do we arrive at 222? 13 for each large frame and 9 for each small frame.

This equation can be written as 9S + 13L = 222

so the two equation are

S + L = 22

9S + 13L = 222

Do you know how to take it from here?

What methods are you familiar with?

If you need to walk through the rest please let me know