Question

Big Dig Diamond Company pulverizes 156 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?

Answer 1

You could do it as 2*10=20 so you will have multiply 156 by 10, getting 1,560. The other way is by cross multilying the fraction 2/156 by 20/? and dividing the answer; 156*20=3,120/2=1,560.

Answer 2

1560 tons of rock.

Explanation:

We have been given that Big Dig Diamond Company pulverizes 156 tons of rock for every 2 ounces of diamonds it finds.

We will use proportions to solve our given problem.

`\frac{\text{Tons of rock}}{\text{Ounces of diamonds}}=\frac{\text{156 tons}}{\text{2 ounces}}`

`\frac{\text{Tons of rock}}{\text{20 ounces}}=\frac{\text{156 tons}}{\text{2 ounces}}`

`\frac{\text{Tons of rock}}{\text{20 ounces}}*\text{20 ounces}=\frac{\text{156 tons}}{\text{2 ounces}}* \text{20 ounces}`

`\text{Tons of rock}=\text{156 tons}* 10`

`\text{Tons of rock}=\text{1560 tons}`

Therefore, 1560 tons of rock must it grind up in order to locate 20 ounces of diamonds.