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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