document.write( "Question 1040196: David bought three times as many hamburgers as rice toppings. Each Hamburger costs $25 and each rice topping is $75 more than each hamburger. If he spent $1050 in all, how many rice toppings did he buy? \n" ); document.write( "
Algebra.Com's Answer #654998 by 428225(90)![]() ![]() You can put this solution on YOUR website! Let x = number of rice toppings bought \n" ); document.write( "∴ 3x= number of hamburgers bought \n" ); document.write( " \n" ); document.write( "You know that each hamburger cost $25 and that each rice topping was worth $75 dollars more than each hamburger, which means rice toppings cost $100. \n" ); document.write( " \n" ); document.write( "∴ 3x(25) + x(100) = 1050 \n" ); document.write( " \n" ); document.write( "75x + 100x = 1050 \n" ); document.write( " \n" ); document.write( "175x = 1050 \n" ); document.write( " \n" ); document.write( "∴ x = 6 \n" ); document.write( " \n" ); document.write( "Therefore, David bought 6 rice toppings and 18 hamburgers. \n" ); document.write( " \n" ); document.write( "To check the answer substitute 6 as x into the equation from earlier \n" ); document.write( " \n" ); document.write( "3(6)(25) + 6(100) = 1050 \n" ); document.write( " \n" ); document.write( "450 + 600 = 1050 \n" ); document.write( " \n" ); document.write( "1050 = 1050 \n" ); document.write( " \n" ); document.write( "∴ Answer is correct. \n" ); document.write( " |