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

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26-10-2022
Mathematics

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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

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XaniyahS754434 XaniyahS754434 · Answer 1 · 2022-10-26T13:55:28+02:00

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

[tex]\begin{gathered} 2\text{ ounces}\longrightarrow152\text{ tons} \\ 1\text{ ounce}\longrightarrow\frac{152}{2}\text{tons}=76\text{tons rock} \end{gathered}[/tex]

So, to locate 20 ounce diamond

[tex]\begin{gathered} 20\text{ ounce=20}\ast1ounce \\ =20\ast76tons=1520\text{ tons} \end{gathered}[/tex]

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