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Example 6 - Champa went to a Sale to purchase some pants - Examples

  1. Class 10
  2. Important Questions for Exam - Class 10
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Example 6 Champa went to a ‘Sale’ to purchase some pants and skirts. When her friends asked her how many of each she had bought, she answered, “The number of skirts is two less than twice the number of pants purchased. Also, the number of skirts is four less than four times the number of pants purchased”. Help her friends to find how many pants and skirts Champa bought. Let the number of pants purchased by Champa be x. & Let the number of skirts purchased by Champa be y. Number of skirts is two less than twice the number of pants purchased (Number of skirts purchased) = 2 × (Number of pants purchased) − 2 or y = 2(x) − 2 2x − y − 2 = 0 Also, Number of skirts is 4 less than 4 times the number of pants purchased (Number of skirts purchased) = 4 × (Number pants purchased) − 4 or y = 4(x) − 4 4x – y - 4 = 0 Now, plotting equations 2x − y − 2 = 0 ...(1) 4x – y − 4 = 0 …(2) Solving (1) 2x – y – 2 = 0 y = 2x – 2 Solving (2) 4x – y – 4 = 0 y = 4x – 4

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He provides courses for Mathematics from Class 9 to 12. You can ask questions here.
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