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?
A- $7500
B- $18,500
C- $31,250
D- $41,250

Question

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? 
A- $7500 
B- $18,500 
C- $31,250
 D- $41,250

anonymous · Answer

And how did you figure it out because I want to understand.

igreen · Answer

Commission = 10% * x + 15% * Value

Plug in those terms:

5,000 = 0.10 * x + 0.15 * 12,500

Simplify:

Multiply 0.10 and x:

5,000 = 0.10x + 0.15 * 12,500

Multiply 0.15 and 12,500:

5000 = 0.10x + 1875

Subtract 0.10x to both sides:

5000 - 0.10x = 1875

Subtract 5000 to both sides:

-0.10x = -3125

Divide -0.10 to both sides:

x = 31,250