Question

Big Dig Diamond Company pulverizes 152 tons of rock for every 2 ounces of diamonds it finds. How many tons of rock must it grind up in order to locate 20 ounces of diamonds? O A. 3,040 tons B. 1,672 tons C. 760 tons D. 1,520 tons

Answer 1

For every 2 ounces of diamonds, there is 152 tons rock. So,

`\begin{gathered} 2\text{ ounces}\longrightarrow152\text{ tons} \\ 1\text{ ounce}\longrightarrow(152)/(2)\text{tons}=76\text{tons rock} \end{gathered}`

So, to locate 20 ounce diamond

`\begin{gathered} 20\text{ ounce=20}\ast1ounce \\ =20\ast76tons=1520\text{ tons} \end{gathered}`

Therefore, 1520 tons of rock is needed to locate 20 ounces of diamond.