Question

An alloy has 15%. zinc, 40% carbon and rest is silver.In 45 kg alloy. find the quantity of each metal?​

Answer 1

ANSWER:

• Weight of Zinc = 6.75 kg.

• Weight of Copper = 18 kg.

• Weight of Silver = 20.25 kg.

GIVEN:

• An alloy has 15 % Zinc, 40 % Carbon and rest is Silver.

• Weight of alloy = 45 kg.

TO FIND:

• The quantity of each metal.

EXPLANATION:

$\sf \leadsto\%\ of\ Zinc = 15\ \%$

Let the weight of Zinc be x

$\sf \leadsto\dfrac{x}{45}\times 100 = 15\ \%$

$\sf \leadsto\dfrac{x}{9}\times 20 = 15$

$\sf \leadsto\dfrac{x}{9}\times 4 = 3$

$\sf \leadsto\dfrac{x}{9}= 0.75$

$\sf \leadsto x= 6.75$

Weight of Zinc = 6.75 kg

$\sf \leadsto\%\ of\ Copper= 40\ \%$

Let the weight of Copper be y

$\sf \leadsto\dfrac{y}{45}\times 100 = 40$

$\sf \leadsto\dfrac{y}{45}\times 5 = 2$

$\sf \leadsto\dfrac{y}{9}= 2$

$\sf \leadsto y = 18$

Weight of Copper = 18 kg

$\sf \leadsto\%\ of\ Silver= 100\% -15\ \%-40\ \%$

$\sf \leadsto\%\ of\ Silver= 100\% -55\ \%$

$\sf \leadsto\%\ of\ Silver= 45\ \%$

Let the weight of Silver be z

$\sf \leadsto\dfrac{z}{45}\times 100 = 45\ \%$

$\sf \leadsto\dfrac{z}{45}\times 20 = 9$

$\sf \leadsto\dfrac{z}{9}\times 4= 9$

$\sf \leadsto\dfrac{z}{9} = 2.25$

$\sf \leadsto z = 20.25$

Weight of Silver= 20.25 kg.

VERIFICATION:

Wt. of Zinc + Wt. of Copper + Wt. of Silver = Wt. of Alloy.

Substitute the respective values.

6.75 + 18 + 20.25 = 45

27 + 18 = 45

45 = 45

HENCE VERIFIED.

Answer 2

Answer:

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