Question

If 24-karat gold is pure gold and 12-karat gold is 50%gold, how many karats is 75% gold?

Answer 1

Answer:18 karat gold nno questions asks

Answer 2

We have the following relationships from the question:

`\begin{gathered} 24-karat\Rightarrow100\% \\ x-karat\Rightarrow75\% \\ 12-karat\Rightarrow50\% \end{gathered}`

Therefore, we can have the following equation to solve the problem:

`(24-x)/(100-75)=(24-12)/(100-50)`

We can solve the equation as follows:

`\begin{gathered} (24-x)/(25)=(12)/(50) \\ 24-x=(12*25)/(50) \\ 24-x=6 \\ \therefore \\ x=24-6 \\ x=18 \end{gathered}`

Therefore, 18-karat gold is 75% gold.