document.write( "Question 388073: 2. LaToya Smith is a buyer for a large manufacturing company . She can purchase 200 pounds of chemicals for $95. She can also purchase mixing vats for $400 each. Sales tax on all products is 6% of the total cost of the order. Shipping costs for her order will be a flat $30. \r
\n" );
document.write( "\n" );
document.write( "a. At this same rate, how much would 4,000 pounds of chemicals cost?\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "b. This month she doesn’t know yet how many mixing vats she will need to order. Let y = number of mixing vats required. Write an equation using y that she can use to determine the total amount of her order. Assume no chemicals are ordered, only vats. \r
\n" );
document.write( "\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #274433 by Theo(13342)![]() ![]() You can put this solution on YOUR website! 200 pounds of chemicals cost $95. \n" ); document.write( "mixing vats = $400 each. \n" ); document.write( "Sales tax on all products is 6% of the total cost of the order. \n" ); document.write( "Shipping costs for the order will be a flat $30.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "question a:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "she orders 4000 pounds of chemicals. \n" ); document.write( "cost per pound of chemical = $95.00 / 200 = .475 \n" ); document.write( ".475 * 4000 = $1900.00 for the chemicals.\r \n" ); document.write( "\n" ); document.write( "Total cost for the order for 4000 pounds of chemicals only is as follows:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Chemicals = $1900.00 \n" ); document.write( "Shipping = $30.00 \n" ); document.write( "Total without Tax = $1930.00 \n" ); document.write( "Tax on $1930.00 at 6% = $115.80 \n" ); document.write( "Total Cost for the Order = $1930.00 + $115.80 = $2045.80\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In equation form, this would be:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "((.475 * 4000) + 30) * 1.06 = total cost of the order.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Tax is assumed to apply to the total order (material plus shipping).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "question b:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Cost per vat = $400.00\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = number of vats to order.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Total cost of the order for vats only would be:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(y * 400 + 30) * 1.06\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |