Question

A high gold-quartz ore contains is 0.25% gold by mass. how many grams of gold are in 1.25 tons of this ore?

Answer 1

To find the grams of gold in 1.25 tons of ore with a gold content of 0.25%, convert tons to grams (1.25 tons = 1,250,000 g) and multiply by 0.0025 to get 3,125 grams of gold.

Step-by-step explanation:

If a high gold-quartz ore contains 0.25% gold by mass, to calculate the amount of gold in 1.25 tons of this ore we use the following approach:

Convert tons to grams: 1.25 tons is equivalent to 1.25 x 1,000,000 grams (since 1 ton = 1,000 kilograms and 1 kilogram = 1,000 grams).

Calculate the mass of gold: 0.25% of the total mass of ore is gold, so we multiply the total mass in grams by 0.25% (or 0.0025).

The calculation steps are as follows:

Conversion: 1.25 tons x 1,000 kg/ton x 1,000 g/kg = 1,250,000 g of ore

Gold content: 1,250,000 g of ore x 0.0025 (0.25%) = 3,125 g of gold

Therefore, there are 3,125 grams of gold in 1.25 tons of the gold-quartz ore.

Answer 2

Assuming a ton is 2,000 lbs use the following equation to figure out how many grams of gold by mass there is:
***NOTE*** if this is a metric ton then the conversion will be 1 metric ton = 1000 kg

1.25 tons x 2000 lb/ton = 2,500 lbs
2,500 lbs x .4535 kg/lbs = 1133.75kg x 1000 g/kg = 1,133,750 g
IF METRIC TON then 1.25 x 1000 = 1250 x 1000g/kg = 1,250,000 g

because it says 0.25% and a pecent is out of a 100, you must divide that percentage by 100
use fraction of: 0.25%/100 = 0.0025

(easy way to think about this is if it were 50% gold by mass, then you would multiple the total tonnage by .5 (50/100 = .5), so 0.25% = 0.0025)

1,113,750g x .0025 = 2834 g of gold

if metric ton 1,250,000 x 0.0025 = 3125 g of ogld