text: Algebra 1
  
  $.05n +.1d = 1.7$ $d+n = 21$ Substitution is used since it is easy to substitute one variable for another (in the other equation). $d=13$ $n=8$
  d= # dimes, n = # nickels $.05n +.1d = 1.7$ $d+n = 21$ $d+n = 21$ $d+n -n= 21-n$ $d = 21-n$ $.05n +.1d = 1.7$ $d = 21-n$ $.05n +.1d = 1.7$ $.05n +.1(21-n) = 1.7$ $.05n+ 2.1 -.1n = 1.7$ $-.05n + 2.1 = 1.7$ $-.05n + 2.1+.05n-1.7 = 1.7+.05n-1.7$ $.4 = .05n$ $.4/.05 = .05n/.05$ $8 =n$ $d+n = 21$ $d + 8 = 21$ $d +8-8 = 21-8$ $d = 13$
explanation: The document contains a math problem involving a system of linear equations. It provides the equations and a detailed step-by-step solution using the substitution method. The solution concludes with the values \( d = 13 \) and \( n = 8 \), where \( d \) represents the number of dimes and \( n \) represents the number of nickels.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: Algebra 1
  
  $.05n +.1d = 1.7$ $d+n = 21$ Substitution is used since it is easy to substitute one variable for another (in the other equation). $d=13$ $n=8$
  d= # dimes, n = # nickels $.05n +.1d = 1.7$ $d+n = 21$ $d+n = 21$ $d+n -n= 21-n$ $d = 21-n$ $.05n +.1d = 1.7$ $d = 21-n$ $.05n +.1d = 1.7$ $.05n +.1(21-n) = 1.7$ $.05n+ 2.1 -.1n = 1.7$ $-.05n + 2.1 = 1.7$ $-.05n + 2.1+.05n-1.7 = 1.7+.05n-1.7$ $.4 = .05n$ $.4/.05 = .05n/.05$ $8 =n$ $d+n = 21$ $d + 8 = 21$ $d +8-8 = 21-8$ $d = 13$
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math problem involving a system of linear equations. It provides the equations and a detailed step-by-step solution using the substitution method. The solution concludes with the values \( d = 13 \) and \( n = 8 \), where \( d \) represents the number of dimes and \( n \) represents the number of nickels.
  
  Label: question-and-answer