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.
Let W = number of wristbands. Let B = number of belts.
Number equation: W + B = 30 Value equation: 5.50W + 8.75B = 204.00
Multiply the top equation by 5.50 and subtract it from the bottom equation: 5.50W + 8.75B = 204.00 <--- 5.50(W + B = 30) 5.50W + 5.50B = 165.00 --------------------------------- ---> 3.25B = 39.00 <--- subtract down the columns ---> B = 12 <--- divide by 3.25
