# A woman bought some large frames for $17 each and some small frames for $5 each at a close out sale. If she bought 18 frames for $174, how do you find how many of each type she bought?

##### 1 Answer

Oct 29, 2016

see below

#### Explanation:

1 Large frame costs = 17 $

Therefore, x large frames costs = 17x $

{where x is the number of large frames she bought}

1 Small frame costs = 5 $

Therefore, x Small frames costs = 5y $

{where y is the number of small frames she bought}

By the given condition :

&

Solve these equations simultaneously, from second equation we get **x = 18 - y**

Put this in equation 1

Put y = 11 in eq x = 18 - y

So the woman bought 7 large frames and 11 small frames.