A chemist has two alloys, one of which is 5% gold and 20% lead and the other which is 30% gold and 50% lead. How many grams of e

Question

2 years ago

11

ach of the two alloys should be used to make an alloy that contains 31.5 g of gold and 105 g of lead?

1 answer:

dmitriy555 [2] · Answer 1 · 2023-05-28T11:59:58+03:00

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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