document.write( "Question 708412: the product of 7 and a number, less than 85, is negative 29. What is the number?
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document.write( "negative 29 + 85= 56. 56-7=49 \n" );
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Algebra.Com's Answer #436112 by josh_jordan(263)![]() ![]() You can put this solution on YOUR website! To solve this word problem, we need to convert it into an equation. Let's first break down each part of the sentence:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "\"The product of 7 and a number\" -- product means multiplication. So, 7 multiplied by some number. Let's use the letter y to represent the unknown number. Doing this, we can rewrite this as 7y\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "\"Less than 85\" -- less than means subtraction. So, we will subtract 85 from 7y. In other words, 7y - 85\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "\"is negative 29\" -- is means equals, so = -29\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Put all of this together, and we have:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7y - 85 = -29\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now we can solve. First, add 85 to both sides of the equation:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "85 - 85 + 7y = -29 + 85, giving us 7y = 56\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Dividing both sides by 7 will give us y, which is our unknown number:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, our final answer is 8. 8 is the unknown number. \n" ); document.write( " |