The amount of the first alloy is 450 grams and the amount of the second alloy is 30 grams.
<h3>What is a linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
A chemist has two alloys, one of which is 5% gold and 20% lead and the other which is 30% gold and 50% lead.
Let's suppose the x is the amount of the first alloy and y is the amount of the second alloy:
We can make two linear equation in two variables:
0.05x + 0.3y = 31.5 ...(1)
0.2x + 0.5y = 105 ...(2)
After solving the above two linear equations by substitution method, we get:
x = 450 grams
y = 30 grams
Thus, the amount of the first alloy is 450 grams and the amount of the second alloy is 30 grams.
Learn more about the linear equation here:
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