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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.

Beth made wristbands and belts for a craft sale She sold 30 of these items Each wristband sold for 550 Each belt sold at 875 If Beth made 204 at the craft sale class=

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✿Answer:

  • Both sold 18 wristbands and 12 belts

✂----------------------

Let, number of wristbands = x

number of belts = y

[tex]x+y=30[/tex]  ➞ [tex]x~5.5[/tex]

[tex]5.50x+8.75y=204[/tex] [tex]x1[/tex]

[tex]5.50x+5.5y=165\\5.5x+8.75y=204\\---------\\-3.25y=-39[/tex]

[tex]y=-39/3.25[/tex]

[tex]y=12[/tex]

[tex]x=30-12=18[/tex]

[tex]So, Both~ sold ~18 ~wristbands ~and ~12~ belts[/tex].

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