Question

2
The ratio of the weights of copper and zinc
inbrass (Alloy) is 13.7 find the weight of zinc
in brass utensil weighting 700g.​

Answer 1

Question:

The ratio of the weights of copper and zinc

inbrass (Alloy) is 13:7 find the weight of zinc

in brass utensil weighting 700g.

Explanation :

Given that :

• The ratio of the weights of copper and zinc in brass (Alloy) is 13:7.

Let the weight of copper in brass be 13x ,

Let the weight of copper be 7x.

From the given condition,

• weight brass of brass = 700 gram.

Weight of copper in brass + Weight of zinc in brass = 700g.

$13x + 7x = 700$

$20x = 700$

$x = \frac{700 }{20}$

$x = 35$

∴ x = 35

∴ Weight of zinc in brass = 7×35= 245gm.

• Hence , the weight of zinc in brass utensil is 245gm.

Answer 2

Given

• The ratio of the weight of copper and zinc in brass (alloy) is 13:7

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To Find

• The weight of zinc in brass utensil weighting 700 g.

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Solution

Let's consider the weight of copper to be '13x' and the weight of zinc to be '7x'

Weight of the brass utensil → 700g

Let's solve the below equation to find the weight of copper and zinc in the brass utensil.

13x + 7x = 700

Step 1: Simplify the equation.

⇒ 13x + 7x = 700

⇒ 20x = 700

Step 2: Divide 20 from both sides of the equation.

⇒ 20x ÷ 20 = 700 ÷ 20

⇒ x = 35

∴ The weight of copper in brass utensil⇒ 13x = 13 × 35 = 445

∴ The weight of zinc in brass utensil ⇒ 7x = 7 × 35 = 245

∴ The weight of zinc in brass utensil weighting 700g is 245g.

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