Respuesta :
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:
1560 tons of rock.
Step-by-step 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.
[tex]\frac{\text{Tons of rock}}{\text{Ounces of diamonds}}=\frac{\text{156 tons}}{\text{2 ounces}}[/tex]
[tex]\frac{\text{Tons of rock}}{\text{20 ounces}}=\frac{\text{156 tons}}{\text{2 ounces}}[/tex]
[tex]\frac{\text{Tons of rock}}{\text{20 ounces}}\times\text{20 ounces}=\frac{\text{156 tons}}{\text{2 ounces}}\times \text{20 ounces}[/tex]
[tex]\text{Tons of rock}=\text{156 tons}\times 10[/tex]
[tex]\text{Tons of rock}=\text{1560 tons}[/tex]
Therefore, 1560 tons of rock must it grind up in order to locate 20 ounces of diamonds.