The amount of gold jewelry and other products is measured
in karats (K), where 24K represents pure gold. The mark 14K
on a chain indicates that the ratio between the mass of the
gold in the chain and the mass of the chain is 14:24 If a gold
ring is marked 18K and it weighs 0.4 oz, what is the value of
the gold in the ring if pure gold is valued at $300 per oz?
18/24=value/300peroz
value= 18/24 * 300 = 3/4 of 300
To find the value of the gold in the ring, we need to determine the amount of pure gold in the ring and then multiply it by the value of pure gold per ounce.
Step 1: Determine the ratio of gold in the ring.
The ring is marked as 18K, which means that it contains 18 parts of gold out of 24 parts total. To find the ratio of gold in the ring, divide the number of parts of gold by the total number of parts:
Ratio of gold in the ring = 18 / 24 = 0.75
Step 2: Determine the weight of pure gold in the ring.
The weight of the ring is given as 0.4 oz. Multiply the weight of the ring by the ratio of gold in the ring to get the weight of pure gold:
Weight of pure gold = 0.4 oz x 0.75 = 0.3 oz
Step 3: Calculate the value of the gold in the ring.
The value of pure gold is given as $300 per ounce. Multiply the weight of pure gold by the value of pure gold per ounce to get the value of the gold in the ring:
Value of gold in the ring = 0.3 oz x $300/oz = $90
Therefore, the value of the gold in the ring is $90.