Question

A woman bought some large frames for ​$13 each and some small frames for ​$5 each at a closeout sale. If she bought 28 frames for ​$212​, find how many of each type she bought.

Answer 1

Number of large frame = 9

Number of small frame= 19

Step-by-step explanation:

Given:

Amount of large frame = $13

Amount of Small frame = $5

Total number of frame = 28

Total spent amount = $212

Solution:

Assume Number of large frame = a

Number of small frame = b

So. a + b = Total number of frame

a + b = 28..........................Eq 1

Total amount = (a x $13) + (b x $5)

212 = 13a + 5b ............,,Eq 2

In Eq 1 multiply by 5 for using substitute method

5a + 5b = 140 ...........................Eq 3

Eq2 - Eq3

8a = 72

a = 72 / 8 = 9

Number of large frame = 9

And Number of small frame = 28 -9

Number of small frame= 19