Question

A woman bought some large frames for $13 each and some small frames for $6 each at a closeout sale. If she bought 18 frames for $136, find how many of each type
she bought
She bought large frames
vie

Answer 1

Answer:

she bought 4 large frames and 14 small frames!

Step-by-step explanation:

This is a system of equation problem!

let's say that x= large frames and y=small frames.

since there's 18 total, we already have our first equation set.

x+y=18

(number of large frames) + (number of small frames)= 18

13x would represent the large frames because each one is 13 dollars.

6y would represent the small frames because each one is 6 dollars.

Since she paid 136 dollars total, we can already tell that

13x+6y=136

(price of large frames*number of large frames) + (price of small frames*number of small frames)=136.

Now, time for the math!

Attached below is how you would work it out using substitution.

Hope this helps!

x=4 and y=14

Meaning that she bought 4 large frames and 14 small frames!