Question

an alloy contains copper and zinc in the ratio of 2:11. find the weight of copper in the alloy, if it has 28.6 grams of zinc.​

Answer 1

Answer:

5.2 grams

Step-by-step explanation:

As per the provided information in the given question, we have :

• An alloy contains copper and zinc in the ratio of 2:11.
• It contains 28.6 grams of zinc.

We are asked to calculate the weight of copper in the alloy.

Let us suppose the weight of copper in the alloy as 2x and the weight of zinc in the alloy as 11x.

― According to the question, we've been given that an alloy contains 28.6 grams of zinc. Also, the weight of zinc in the alloy is 11x. Considering the both statements and writing it in the from of a linear equation,

$\longmapsto\rm { 28.6 \; g = 11x}$

Transposing 11 from R.H.S to L.H.S. Its arithmetic operator will get changed.

$\longmapsto\rm {\cancel{ \dfrac{28.6}{11}} \; g = x}$

Dividing 28.6 by 11 in order to calculate the value of x.

$\longmapsto\bf { 2.6\; g = x}$

Now, we have found the value of x. According to our assumption according to the question, the weight of copper in the alloy as 2x. Writing it in the from of a linear equation,

$\longmapsto\rm { Weight_{(Copper)} = 2x}$

Substitute the value of x.

$\longmapsto\rm { Weight_{(Copper)} = 2(2.6)}$

Multiplying 2 with 2.6 to find the weight of the copper in alloy.

$\longmapsto\bf { Weight_{(Copper)} = 5.2 \; g}$

∴ Weight of copper in the alloy is 5.2 grams.