Question

Beth made wristbands and belts for a craft sale. She sold 30 of these items. Each Wristband sold for $5.50. Each belt sold for $8.75. It’s Beth made $204 at the craft sale, how many wristbands did she sell? How many belts did she sell? Write and solve a system of equations to solve the problem. Show your work.

Answer 1

w+b=30

5.50w+8.75b=204

Use simultaneous equations to solve. Replace w with 30-b and plug into the second equation.

5.50(30-b)+8.75b=204
165-5.5b+8.75b=204
3.25b=39
b=12

She sold 12 belts.