document.write( "Question 766474: Can you please help me solve this :
\n" ); document.write( "All 28 volunteers from ms.lullas Nicaragua service trip each rent a tool to help them complete their service projects . A shovel costs $16 per day , and an electric sander costs $19 per day. Ms lulla gets a bill for $478, but it's not itemized . However, she needs to know how many of each tool they used for documentation purposes. How many shovels did the volunteers rent? \n" ); document.write( "
Algebra.Com's Answer #466920 by rothauserc(4718)\"\" \"About 
You can put this solution on YOUR website!
let x be the number of shovels, y be the number of sanders, we know
\n" ); document.write( "x + y = 28
\n" ); document.write( "16x + 19y = 478
\n" ); document.write( "===================================================
\n" ); document.write( "solve first equation for x
\n" ); document.write( "x = 28 - y
\n" ); document.write( "substitute for x in the second equation
\n" ); document.write( "16 * (28 - y) + 19y = 478\r
\n" ); document.write( "\n" ); document.write( "448 - 16y + 19y = 478
\n" ); document.write( "3y = 30
\n" ); document.write( "y = 10 and
\n" ); document.write( "x + 10 = 28
\n" ); document.write( "x = 18
\n" ); document.write( "=======================================================
\n" ); document.write( "check results with second equation
\n" ); document.write( "16*18 + 19^10 = 478
\n" ); document.write( "288 + 190 = 478
\n" ); document.write( "478 = 478
\n" ); document.write( "our answers for the number of showvels and sanders checks out :-)
\n" ); document.write( "=======================================================
\n" ); document.write( "18 shovels and 10 sanders were used
\n" ); document.write( "======================================================== \n" ); document.write( "
\n" );