Question

To find the weight of the gold in a 22 karat gold object,multiply the object's weight by 0.917.To find the weight of the gold in a 14 karat gold object,multiply the object's weight by 0.583. A 22 karat gold statue and a 14 karat gold statue both weigh 73.5 ounces. Which one contains more gold? How much more gold does it contain?

Answer 1

Answer: 22 karat gold statue contains more gold than 14 karat gold statue by $4.23-2.68=1.55\ pounds$.

Step-by-step explanation:

Since we have given that

There is 22 karat gold statue weighing 73.5 ounces,

So, weight of the gold in gold statue is given by

$73.5\times 0.917=67.4\ ounces$

There is 14 karat gold statue weighing 73.5 ounces,

So, weight of the gold in gold statue is given by

$73.5\times 0.583=42.85\ ounces$

As we know that

$1\ pound =16\ ounces$

So, 22 karat gold statue has

$\frac{67.4}{16}=4.23\ pounds\ of\ gold$

And, 14 karat of gold statue has

$\frac{42.85}{16}=\ pounds\ of\ gold$

Hence, 22 karat gold statue contains more gold than 14 karat gold statue by $4.23-2.68=1.55\ pounds$.