document.write( "Question 997622: (Algebra)\r
\n" ); document.write( "\n" ); document.write( "A family allows 1/3 of its income for housing and 1/4 of its income for food. It budgets a total of $1050 a month for housing and food. What is the family's monthly income?
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Algebra.Com's Answer #615634 by MathLover1(20849)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "let income be \"x\"\r
\n" ); document.write( "\n" ); document.write( "if a family allows \"1%2F3\" of its income for housing and \"1%2F4\" of its income for food, means \"x%2F3\" of its income for housing and \"x%2F4\" of its income for food\r
\n" ); document.write( "\n" ); document.write( "if it budgets a total of $\"1050\" a month for housing and food,means\r
\n" ); document.write( "\n" ); document.write( " \"x%2F3%2Bx%2F4=1050\"....solve for \"x\"\r
\n" ); document.write( "\n" ); document.write( "\"x%2F3%2Bx%2F4=1050\"...find common denominator; for \"3\" and \"4\" will be \"12\"\r
\n" ); document.write( "\n" ); document.write( "\"4x%2F%284%2A3%29%2B3x%2F%283%2A4%29=1050\"\r
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\n" ); document.write( "\n" ); document.write( "\"4x%2F12%2B3x%2F12=1050\"\r
\n" ); document.write( "\n" ); document.write( "\"%284x%2B3x%29%2F12=1050\"\r
\n" ); document.write( "\n" ); document.write( "\"7x%2F12=1050\"\r
\n" ); document.write( "\n" ); document.write( "\"7x=1050%2A12\"\r
\n" ); document.write( "\n" ); document.write( "\"x=12600%2F7\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28x=1800%29\"\r
\n" ); document.write( "\n" ); document.write( "so,the family's monthly income is $\"1800\"\r
\n" ); document.write( "\n" ); document.write( "check:\r
\n" ); document.write( "\n" ); document.write( "$\"x%2F3=1800%2F3=600\" of its income for housing, and
\n" ); document.write( "$\"x%2F4=1800%2F4=450\" of its income for food\r
\n" ); document.write( "\n" ); document.write( "$\"600%2B450=1050\" which verifies our answer\r
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