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 at $8.75. If 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 work.

Answer 1

✿Answer:

• Both sold 18 wristbands and 12 belts

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Let, number of wristbands = x

number of belts = y

$x+y=30$  ➞ $x~5.5$

$5.50x+8.75y=204$ $x1$

$5.50x+5.5y=165\\5.5x+8.75y=204\\---------\\-3.25y=-39$

$y=-39/3.25$

$y=12$

$x=30-12=18$

$So, Both~ sold ~18 ~wristbands ~and ~12~ belts$.

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