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.
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.
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.
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.
D.) What will be the value, in dollars, of gold in the 10-ounce necklace? SHOW OR EXPLAIN HOW YOU GOT YOUR ANSWER.
Can you please show how you came to your answer in the last two? Thank you.
Answer by ankor@dixie-net.com(22740)   (Show Source):
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.
:
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.
g + s = 10
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.
318g + 5s = 206.50
;
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.
multiply the 1st equation by 5, subtract from the 2nd equation
318g + 5s = 206.50
5g + 5s = 50
---------------Subtraction eliminates s, find g
313g = 156.50
g = 156.50/313
g = .5 oz of gold required
therefore
10 -.5 = 9.5 oz of silver
:
D.) What will be the value, in dollars, of gold in the 10-ounce necklace?
Gold is $318 an oz, therefore
.5*318 = $159 is the value of the gold in the necklace
:
;
Confirm our solutions by finding the value of the silver and adding to the value of the gold
(9.5*5) + 159 = 206.50
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