document.write( "Question 824176: I need more detail solution:\r
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document.write( "A child has a bag full of little toy bricks each of dimensions 1cm x 1 cm x
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document.write( "1cm and decides to build a little wall with them. He wants to have 2 bricks in the top
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document.write( "row, 4 in the second row from the top, 6 in the third row from the top, and so on,
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document.write( "always placing two more bricks in every row below. If he has a total of 950 little
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document.write( "bricks, how tall can he make his wall? \n" );
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Algebra.Com's Answer #496179 by kjmugno(4)![]() ![]() ![]() You can put this solution on YOUR website! Lets use a chart. So, row 1 has 2 bricks;\r \n" ); document.write( "\n" ); document.write( "r o w - 1 \n" ); document.write( "bricks- 2 \n" ); document.write( "total(bricks)- 2\r \n" ); document.write( "\n" ); document.write( "the word problem also provides us with the following information;\r \n" ); document.write( "\n" ); document.write( "r o w - 1 2 3 \n" ); document.write( "bricks- 2 4 6 \n" ); document.write( "total- 2 6 12\r \n" ); document.write( "\n" ); document.write( "now that we have a graph, its easier to use a little algebra to figure out an equation;\r \n" ); document.write( "\n" ); document.write( "for row to bricks, the equation would be row*2=bricks. for row to total, it would be row1*2=total row2*3=total row3*4=total row4*5=total. do you see the correlation? \r \n" ); document.write( "\n" ); document.write( "now, we need to figure out how many rows contain 950 bricks. Lets input 950 into our bricks total equation... \n" ); document.write( "rowX*X+1=950 \n" ); document.write( "do you follow? \n" ); document.write( "lets solve for x.... \n" ); document.write( "my favorite way to do this in questions like this is the process of elimination, its much quicker. \n" ); document.write( "so lets take a random number to use for x, lets say...15? \n" ); document.write( "okay. \n" ); document.write( "row15*16=950 ? \n" ); document.write( "15*16=240, so thats not it. but now we know we need a much larger number. lets go for....25? \n" ); document.write( "row25*26=950 ? \n" ); document.write( "25*26=650 \n" ); document.write( "closer, but not quite it. we need a slighty larger number. lets go for 31? \n" ); document.write( "row31*32=950 ? \n" ); document.write( "31*32=992 \n" ); document.write( "well, we almost got it!! its barely too big, lets knock it down ONE row. \n" ); document.write( "row30*31=950 ? \n" ); document.write( "30*31=930, which is the closest we can get without exceeding our number of bricks.\r \n" ); document.write( "\n" ); document.write( "with 950 bricks, in the order of rows specified, your wall can be 30 rows high. \n" ); document.write( " \n" ); document.write( " |