Question

01. The ratio of the copper and zinc in an alloy is 4:7. If the
+ tal weight of the alloy is 12.100 kg find the weight of
each in the alloy​

Answer 1

Answer:

♦ Weight of copper = 4.4 kg

♦ Weight of zinc = 7.7 kg

Step-by-step explanation:

Given:

• The ratio of the copper and zinc in an alloy is 4:7.
• If the total weight of the alloy is 12.100 kg.

To find:

• The weight of each in the alloy i.e, the weight of copper and zinc separately.

Solution:

First we will assume that the weight of copper and zinc as 4x and 7x respectively. Then we know that the total weight of alloy is 12.100 kg, so we will add both 4x and 7x and that is equal to 12.100. Thus, forming an adequate equation and doing the required calculations, we will find the value of x. After that we will substitute the value of x in both to find the weight of each in the alloy.

Let's find out...

Let the weight of copper and zinc be 4x and 7x respectively.

According to the problem,

• 4x + 7x = 12.100
• 11x = 12.100
• 11x = 12100/1000
• 11x = 121/10
• 11x = 12.1
• x = 12.1/11
• x = 1.1

Now, substitute the value of x in weights of respective metals present in alloy.

• Weight of copper = 4 × 1.1
• Weight of copper = 4.4 kg

• Weight of zinc = 7 × 1.1
• Weight of zinc = 7.7 kg

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