document.write( "Question 966179: A designer at Royal Jewelers wants to create a 10-ounce necklace that will be made of gold and silver. The necklace will have a total value of $206.50.\r
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document.write( "A.) Write a equation that represents the total weight of the 10-ounce necklace if it contains g ounces of gold and s ounces of silver.\r
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document.write( "B.) Given that the value of gold is $318 per ounce and the value of silver is &5 per ounce, write an equation in terms of g and s that represents the total value of the 10-ounce necklace.\r
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document.write( "C.) The two equations from parts a and b form a system. Solve the system of equations for g and s. SHOW ALL OF YOUR WORK.\r
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document.write( "D.) What will be the value, in dollars, of gold in the 10-ounce necklace? SHOW OR EXPLAIN HOW YOU GOT YOUR ANSWER.\r
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document.write( "Can you please show how you came to your answer in the last two? Thank you. \n" );
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Algebra.Com's Answer #590571 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A designer at Royal Jewelers wants to create a 10-ounce necklace that will be made of gold and silver. The necklace will have a total value of $206.50. \n" ); document.write( ": \n" ); document.write( "A.) Write a equation that represents the total weight of the 10-ounce necklace if it contains g ounces of gold and s ounces of silver. \n" ); document.write( "g + s = 10 \n" ); document.write( "B.) Given that the value of gold is $318 per ounce and the value of silver is &5 per ounce, write an equation in terms of g and s that represents the total value of the 10-ounce necklace. \n" ); document.write( "318g + 5s = 206.50 \n" ); document.write( "; \n" ); document.write( "C.) The two equations from parts a and b form a system. \n" ); document.write( " Solve the system of equations for g and s. SHOW ALL OF YOUR WORK. \n" ); document.write( "multiply the 1st equation by 5, subtract from the 2nd equation \n" ); document.write( "318g + 5s = 206.50 \n" ); document.write( "5g + 5s = 50 \n" ); document.write( "---------------Subtraction eliminates s, find g \n" ); document.write( "313g = 156.50 \n" ); document.write( "g = 156.50/313 \n" ); document.write( "g = .5 oz of gold required \n" ); document.write( "therefore \n" ); document.write( "10 -.5 = 9.5 oz of silver \n" ); document.write( ": \n" ); document.write( "D.) What will be the value, in dollars, of gold in the 10-ounce necklace? \n" ); document.write( "Gold is $318 an oz, therefore \n" ); document.write( ".5*318 = $159 is the value of the gold in the necklace \n" ); document.write( ": \n" ); document.write( "; \n" ); document.write( "Confirm our solutions by finding the value of the silver and adding to the value of the gold \n" ); document.write( "(9.5*5) + 159 = 206.50 \n" ); document.write( " |