document.write( "Question 174461This question is from textbook Algebra 2, Texas Edition
\n" ); document.write( ": As a participant in your school's community service project, you volunteer a total of 40 hours over the course of the school year. Your volunteer hours include serving at a soup kitchen, picking up trash at several local parks, and collecting toys for needy children. You spend 4 times as many hours collecting toys as picking up trash, and 2 hours less serving at the soup kitchen than picking up trash.
\n" ); document.write( "1. Write a system of equations to represent the given information and solve using the elimination and Cramer's Rule Method. \n" ); document.write( "

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1. Write a system of equations to represent the given information and solve using the substitution method.
\n" ); document.write( "Please help and try to show every bit of work that you can to help me better understand the problem, Thank You! =)
\n" ); document.write( ":
\n" ); document.write( "lets call the time spent at soup kitchen,trash pickup, and toy collecting
\n" ); document.write( "s, t, and c, respectively
\n" ); document.write( ":
\n" ); document.write( "c=4t...........eq 1
\n" ); document.write( "s=t-2..........eq 2
\n" ); document.write( "s+t+c=40.......eq 3
\n" ); document.write( ":
\n" ); document.write( "lets take the value of c and s in eq's 1 and 2 and plug them into eq 3
\n" ); document.write( ":
\n" ); document.write( "(t-2)+t+4t=40
\n" ); document.write( ":
\n" ); document.write( "6t=42
\n" ); document.write( ":
\n" ); document.write( " $\"highlight%28t=7%29\"$ hours picking up trash
\n" ); document.write( ":
\n" ); document.write( " $\"highlight%28c=4t=4%287%29=28%29\"$ hours toy collecting
\n" ); document.write( ":
\n" ); document.write( " $\"highlight%28s=t-2=7-2=5%29\"$ hours in the soup kitchen \n" ); document.write( "

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