document.write( "Question 1109201: Nick traveled out of the country for a month. He purchased a plan from his cell phone company that would allow him to send text messages to friends and family back home.​ Nick's telephone company charges $ 0.40 for a regular text message and $ 0.70 for a multimedia text messages. This month Nick was billed $ 106 and he sent total of 205 messages. How many regular text messages and multimedia text messages did he​ send? \n" ); document.write( "
Algebra.Com's Answer #724196 by josmiceli(19441)\"\" \"About 
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Let \"+a+\" = number of reg text messages
\n" ); document.write( "Let \"+b+\" = number of multimedia text messages
\n" ); document.write( "----------------------------------------------------
\n" ); document.write( "(1) \"+a+%2B+b+=+205+\"
\n" ); document.write( "(2) \"+.4a+%2B+.7b+=+106+\"
\n" ); document.write( "-----------------------------
\n" ); document.write( "(2) \"+4a+%2B+7b+=+1060+\"
\n" ); document.write( "Multiply both sides of (1) by \"+4+\"
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) \"+4a+%2B+7b+=+1060+\"
\n" ); document.write( "(1) \"+-4a+-+4b+=+-820+\"
\n" ); document.write( "----------------------------
\n" ); document.write( "\"+3b+=+240+\"
\n" ); document.write( "\"+b+=+80+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+a+%2B+80+=+205+\"
\n" ); document.write( "(1) \"+a+=+125+\"
\n" ); document.write( "-----------------------
\n" ); document.write( "He sent 125 regular and
\n" ); document.write( "80 multimedia messages
\n" ); document.write( "----------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+.4a+%2B+.7b+=+106+\"
\n" ); document.write( "(2) \"+.4%2A125+%2B+.7%2A80+=+106+\"
\n" ); document.write( "(2) \"+50+%2B+56+=+106+\"
\n" ); document.write( "(2) \"+106+=+106+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" ); document.write( "
\n" );