document.write( "Question 419283:  the product of 5, and 3 more than twice a number, is 85. what is the number?
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| Algebra.Com's Answer #293257 by duckness73(47)     You can put this solution on YOUR website! Let x = the number that we are searching for.\r \n" ); document.write( "\n" ); document.write( "Note that \"3 more than twice a number\" is 3 + 2x. \n" ); document.write( "The product of 5 and \"3 more than twice a number\" is 5 (3 + 2x). We know that this product is 85. So, we have:\r \n" ); document.write( "\n" ); document.write( "5 (3 + 2x) = 85 \n" ); document.write( "15 + 10x = 85 (distributive property) \n" ); document.write( "10x = 70 (subtracting 15 from both sides) \n" ); document.write( "x = 7 (dividing both sides by 10)\r \n" ); document.write( "\n" ); document.write( "Answer: 7\r \n" ); document.write( "\n" ); document.write( "Checking the work: \"3 more than twice a number\" is 3 + (2 * 7) = 3 + 14 = 17 \n" ); document.write( "The product of 5 and \"3 more than twice a number\" is 5 * 17 = 85. \n" ); document.write( "Bullseye. \n" ); document.write( " |