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A type of brass is made by combining copper and zinc in an 8:2 ratio. If you want to make 2 kg of brass, how many grams (g) of copper do you need? Super Al Upgrade to exceed 90% accuracy

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A type of brass is made by combining copper and
zinc in an 8:2 ratio. If you want to make 2 kg of
brass, how many grams (g) of copper do you need?
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Upgrade to exceed 90% 
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A type of brass is made by combining copper and zinc in an 8:2 ratio. If you want to make 2 kg of brass, how many grams (g) of copper do you need? Super Al Upgrade to exceed 90% accuracy

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JoleneElite · Tutor for 8 years

Answer

1600 grams of copper is required to make 2 kilograms of brass in an \(8:2\) copper to zinc ratio.

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## Step 1:<br />The problem tells us that brass is made by combining copper and zinc in an \(8:2\) ratio. This means for every 8 parts of copper, we have 2 parts of zinc. <br /><br />## Step 2:<br />To calculate the amount of copper required to make 2 kg of brass, we first need to understand that the total ratio is \(8 (for copper) + 2 (for zinc) = 10\) parts. The ratio of copper to the total amount of brass is therefore \(8:10\).<br /><br />## Step 3:<br />We want to find 'x', where x is the amount of copper needed for 2000g (equivalent to 2 kg) of brass. We can set up the proportion as follows:<br /><br />### \(x (weight of copper) : 2000g (total weight of brass) = 8 (parts of copper) : 10 (total parts)\)<br /><br />## Step 4:<br />By cross multiplication, we can solve for x:<br /><br />### \(x = (8/10) * 2000 = 1600g\)<br /><br />Therefore, 1600g of copper are required in order to make 2kg of brass under the given ratio.
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