document.write( "Question 1121805: A juice seller sells juice in small, medium and large glasses.
\n" );
document.write( "The cost of a small glass is Rs7, the cost of a medium glass is Rs10 and the cost of the glass glass is Rs12.
\n" );
document.write( "The number of small glasses of juice sold was x.
\n" );
document.write( "The number of medium glasses sold was twice the number of small glasses of juice sold.
\n" );
document.write( "The number of large glasses of juice sold was 20 more than the number of medium glasses of juice sold.
\n" );
document.write( "Given that Rs2790 was received from the sale of the juice, find the total number of glasses of juice sold. \n" );
document.write( "
Algebra.Com's Answer #737798 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the cost of a small glass is 7 rs. \n" ); document.write( "the cost of a medium glass is 10 rs. \n" ); document.write( "the cost of a large glass is 12 rs. \n" ); document.write( "the number of small glasses is x. \n" ); document.write( "the number of medium glasses sold was twice the number of small glasses of juice sold. \n" ); document.write( "that gets you 2x for the number of medium glasses sold. \n" ); document.write( "the number of large glasses sold was 20 more than the number of medium glass sold. \n" ); document.write( "that gets you 2x + 20 for the number of large glasses sold. \n" ); document.write( "revenue from selllng the glasses was a total of 2790 rs.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your equation for the total cost would be:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7 * x + 10 * 2x + 12 * (2x + 20) = 2790.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7 * x is the total revenue from selling the small glasses. \n" ); document.write( "10 * 2x is the total revenue from selling the medium glasses. \n" ); document.write( "2x + 20 is the total revenue from selling the large glasses.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify this eqution to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7x + 20x + 24x + 240 = 2790\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "combine like terms to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "51x + 240 = 2790\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "subtract 240 from both sides of this equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "51x = 2790 - 240 = 2550\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide both sides of this equation by 51 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 2550 / 51 = 50.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the number 0f small glasses sold was equal to x which is equal to 50. \n" ); document.write( "the number of medium glasses sold was equal to 2x which is equal to 100. \n" ); document.write( "the number of large glasses sold was equal to 2x + 20 which is equal to 120.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "50 * 7 rs each = 350 rs. \n" ); document.write( "100 * 10 rs each = 1000 rs. \n" ); document.write( "120 * 12 rs each = 1440 rs.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "total rs = 350 + 1000 + 1440 = 2790.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this confirms the solution is correct.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solution is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the total number of glasses sold is 50 + 100 + 120 = 270.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |