document.write( "Question 122553This question is from textbook prentice hall mathematics algebra 1
\n" ); document.write( ": Suppose the ratio of girls and boys in your school is 19:17. There are 1908 students altogether.
\n" ); document.write( "a.Solve the proportion g/b=19/17 for g.
\n" ); document.write( "b.Write and solve the system of equations to find the total number of boys b and girls g. \n" ); document.write( "

Algebra.Com's Answer #89972 by solver91311(24713) $\"\"$ $\"About$

You can put this solution on YOUR website!

\r\n" );
document.write( "\r\n" );
document.write( "Solution\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Part a.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Cross-multiply\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Divide by 17\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Part b.\r\n" );
document.write( "We are given that the total number of students is 1908, and given the\r\n" );
document.write( "presumption that all students have to be either boys or girls we can say:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "From part a. we have  which can be written:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Giving us a system of equations:\r\n" );
document.write( "Eq. 1) \r\n" );
document.write( "Eq. 2) \r\n" );
document.write( "\r\n" );
document.write( "Solve\r\n" );
document.write( "Step 1: Multiply equation 1 by 19 resulting in equation 3\r\n" );
document.write( "Eq. 3) \r\n" );
document.write( "\r\n" );
document.write( "Add equation 2 to equation 3, term by term, resulting in equation 4\r\n" );
document.write( "Eq. 3) \r\n" );
document.write( "Eq. 2) \r\n" );
document.write( "\r\n" );
document.write( "Eq. 4) \r\n" );
document.write( "\r\n" );
document.write( "Divide equation 4 by 36:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Knowing that there are 1007 girls, we can calculate the number of boys by:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Check Answer\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "

\n" ); document.write( "

\n" );

\r\n" ); document.write( "Solution\r\n" ); document.write( "

\r\n" ); document.write( "Check Answer\r\n" ); document.write( "