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 $.05n +.1d = 1.7$ $d+n = 21$ $d+n = 21$ $d+n -n= 21-n$ $d = 21-n$ $.05n +.1d = 1.7$ $d = 21-n$ $.05n +.1d = 1.7$ $.05n +.1(21-n) = 1.7$ $.05n+ 2.1 -.1n = 1.7$ $-.05n + 2.1 = 1.7$ $-.05n + 2.1+.05n-1.7 = 1.7+.05n-1.7$ $.4 = .05n$ $.4/.05 = .05n/.05$ $8 =n$ $d+n = 21$ $d + 8 = 21$ $d +8-8 = 21-8$ $d = 13$
The passage contains a system of linear equations and a detailed step-by-step solution to find the values of the variables \( d \) and \( n \).
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
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 $.05n +.1d = 1.7$ $d+n = 21$ $d+n = 21$ $d+n -n= 21-n$ $d = 21-n$ $.05n +.1d = 1.7$ $d = 21-n$ $.05n +.1d = 1.7$ $.05n +.1(21-n) = 1.7$ $.05n+ 2.1 -.1n = 1.7$ $-.05n + 2.1 = 1.7$ $-.05n + 2.1+.05n-1.7 = 1.7+.05n-1.7$ $.4 = .05n$ $.4/.05 = .05n/.05$ $8 =n$ $d+n = 21$ $d + 8 = 21$ $d +8-8 = 21-8$ $d = 13$
user
The passage contains a system of linear equations and a detailed step-by-step solution to find the values of the variables \( d \) and \( n \).

TYPE: SINGLE_QUESTION_WITH_ANSWER