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irakobra [83]
3 years ago
10

Abhasra and Aliyah are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls

of shiny wrapping paper. Abhasra sold 10 rolls of plain wrapping paper and 4 rolls of shiny wrapping paper for a total of $170. Aliyah sold 5 rolls of plain wrapping paper and 3 rolls of shiny wrapping paper for a total of $105. Find the cost each of one roll of plain wrapping paper and one roll of shiny wrapping paper.
Mathematics
1 answer:
miskamm [114]3 years ago
5 0

Answer:

  • $9 and $20

Step-by-step explanation:

  • Plain wrapping paper - p
  • Shiny wrapping paper - s

<u>Equations:</u>

  • 10p + 4s = 170
  • 5p + 3s = 105

<u>Double the second equation and subtract from the first one:</u>

  • 10p + 4s - 10p - 6s = 170 - 210
  • -2s = - 40
  • s = 20

<u>Find p:</u>

  • 10p + 4*20 = 170
  • 10p = 90
  • p = 9

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