Question

Terri and Donna both sell crafts at two different craft shows each weekend. Terri is charged a 5% commission on the amount of money she earns and pays $35 for her booth. Donna is charged a 3% commission on the amount of money she earns and pays $55 for her booth.

On the last weekend in November, Terri and Donna both earned the same amount of money at their craft shows. They both paid their respective craft shows the same total amount of money for their booths and commission





Set up a system of equations to model the amount of money Terri and Donna pay each weekend at the craft shows. Let x represent the money earned from sales, let T represent the total amount Terri pays in one weekend, and let D represent the total amount Donna pays in one weekend.

Answer 1

T = 0.05x + 35

D = 0.03x + 55

Explanation:

i) On the last weekend in November both Terri and Donna earned from sales the amount of x.

ii) Terri pays the amount T = 0.05x + 35

iii) Donna pays the amount D = 0.03x + 55