document.write( "Question 348537: The USA won 103 medals. The number of silver medals earned was 4 more than the gold medals. The number of bronze medals was 6 less than the number of gold. How many of each kind of medals did the USA earn? \n" ); document.write( "
Algebra.Com's Answer #249167 by haileytucki(390)![]() ![]() You can put this solution on YOUR website! x+(x+4)+(x-6)=103\r \n" ); document.write( "\n" ); document.write( "Remove the parentheses that are not needed from the expression. \n" ); document.write( "x+x+4+x-6=103\r \n" ); document.write( "\n" ); document.write( "Since x and x are like terms, add x to x to get 2x. \n" ); document.write( "2x+4+x-6=103\r \n" ); document.write( "\n" ); document.write( "Since 2x and x are like terms, add x to 2x to get 3x. \n" ); document.write( "3x+4-6=103\r \n" ); document.write( "\n" ); document.write( "Subtract 6 from 4 to get -2. \n" ); document.write( "3x-2=103\r \n" ); document.write( "\n" ); document.write( "Since -2 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 2 to both sides. \n" ); document.write( "3x=2+103\r \n" ); document.write( "\n" ); document.write( "Add 103 to 2 to get 105. \n" ); document.write( "3x=105\r \n" ); document.write( "\n" ); document.write( "Divide each term in the equation by 3. \n" ); document.write( "(3x)/(3)=(105)/(3)\r \n" ); document.write( "\n" ); document.write( "Simplify the left-hand side of the equation by canceling the common factors. \n" ); document.write( "x=(105)/(3)\r \n" ); document.write( "\n" ); document.write( "Simplify the right-hand side of the equation by simplifying each term. \n" ); document.write( "x=35 gold \n" ); document.write( "35-6= 29 bronze \n" ); document.write( "35+4= 39 silver\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Proof:35+29+39\r \n" ); document.write( "\n" ); document.write( "Add 29 to 35 to get 64. \n" ); document.write( "64+39\r \n" ); document.write( "\n" ); document.write( "Add 39 to 64 to get 103. \n" ); document.write( "103 \n" ); document.write( " \n" ); document.write( " |