Question

A woman bought some large frames for ​$13 each and some small frames for ​$5 each at a closeout sale. If she bought 23 frames for ​$171​, find how many of each type she bought.

Answer 1

The answer to your question is 7 large and 16 small

Explanation:

Data

cost large frame = $13

cost small frame = $5

total number of frames = 23

total cost = $171

large frame = l

small frame = s

Process

- Write equations that help to solve the problem

l + s = 23 Equation l

13l + 5s = 171 Equation ll

-Multiply equation l by -5

-5l - 5s = -115

13l + 5s = 171

8l + 0 = 56

8l = 56

l = 56/8

l = 7

-Find s

7 + s = 23

s = 23 - 7

s = 16

-Conclusion

She bought 7 large frames and 16 small frames.