Mrs. bonilla is a saleswoman at a furniture store. her commission on rugs is 10% and her commission on furniture is 15%. her goal is to make $5000 in commissions next month.

if she sells $12,500 worth of furniture, what must be the total value of the rugs she sells?

so here is how you can answer this: 

Your commission must be equal to the sum of the 10% of the value of the rug and the 15% of the value of the furniture and equate this to the value of your commission. Translate this to a mathematical equation, you would get, 

Commission = (10%) (value of rugs) + (15%) (value of furniture).
substituting the known values, 
 
5000 =.1 * x + .15 * 12500.

Now it's a matter of finding for x. You should get, 

 x = $31,250.