document.write( "Question 279199: 2/5 of the cost of a guitar is equal to 1/4 of the cost of a violin. If the violin costs $2870 more than the guitar, what is the cost of both musical instruments? \n" ); document.write( "
Algebra.Com's Answer #203041 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
2/5 of the cost of a guitar is equal to 1/4 of the cost of a violin. If the violin costs $2870 more than the guitar, what is the cost of both musical instruments?
\n" ); document.write( "------
\n" ); document.write( "Equations:
\n" ); document.write( "(2/5)g = (1/4)v
\n" ); document.write( "v = g + 2870
\n" ); document.write( "------------------
\n" ); document.write( "Rearrange the 1st equation:
\n" ); document.write( "Multiply thru by 20 to get:
\n" ); document.write( "8g = 5v
\n" ); document.write( "----
\n" ); document.write( "Substitute for \"v\" and solve for \"g\":
\n" ); document.write( "8g = 5(g+2870)
\n" ); document.write( "8g = 5g+14350
\n" ); document.write( "3g = 14350
\n" ); document.write( "g = 4783.33 (price of the guitar)
\n" ); document.write( "v = 4783.33 + 2870 = 7653.33 (price of the violin)
\n" ); document.write( "====================================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );