Question

Maths .class Vl
In an alloy of copper, zinc and tin, there is 40% copper and 45% zinc. Find the weight of tin in 120 kg of this alloy.

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Answer 1

Answer:

The weight of tin in 120kg of alloy is 18kg.

Step-by-step Explanation

To Find :-

• The weight of tin.

★ Solution :-

Given that,

• Percentage of copper in alloy = 40%
• Percentage of zinc in alloy = 45%
• Total weight of alloy = 120kg.

Therefore, Percentage of tin :-

→ 100 - (Percentage of copper + Percentage of zinc)

→ 100 - (40 + 45)

→ 100 - 85

→ 15%

The percentage of tin is 15%.

Now, The weight of tin in the alloy is :-

→ Percentage of tin/100 × Total weight of alloy

→ 15/100 × 120

→ 15/10 × 12

→ 15 × 1.2

→ 18kg

Hence, The weight of tin is 18kg.

Answer 2

$\huge\purple{ \underline{ \boxed{\mathbb{\red{QUESTION : }}}}}$

In an alloy of copper , zinc and tin . There is 40 % copper and 45 % zinc . Find the weight of tin in 120 Kg of this alloy .

$\huge\purple{ \underline{ \boxed{\mathbb{\red{ANSWER : }}}}}$

• The weight of tin in 120 Kg of alloy is 18 Kg .

$\huge\purple{ \underline{ \boxed{\mathbb{\red{EXPLANATION : }}}}}$

$\green{ \large \underline{ \mathbb{\underline{GIVEN : }}}}$

• Percentage of copper in alloy = 40%

• Percentage of zinc in alloy = 45 %

• Total weight of alloy = 120 Kg

$\green{ \large \underline{ \mathbb{\underline{TO \: FIND : }}}}$

• The weight of tin in 120 Kg of alloy .

$\green{ \large \underline{ \mathbb{\underline{SOLUTION: }}}}$

$\red{ \textsf{ \underline{\underline{Percentage of tin in alloy : }}}}$

Percentage of tin in alloy = 100 - ( Percentage of copper in alloy + Percentage of zinc in alloy )

$\displaystyle \sf \implies100 - (40 + 45) \: \: \: \: \\ \\ \displaystyle \sf \implies100 - 85 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \displaystyle \sf \implies15 \: \%\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\purple {\boxed{ \begin{array}{l} \textsf{Percentage of tin in alloy }= 15 \% \end{array}}}$

$\red{ \textsf{ \underline{\underline{Weight of tin in 120 kg alloy : }}}}$

Weight of tin in 120 kg alloy = 15 % of Total weight of alloy

$\displaystyle \sf \implies \frac{15}{10 \cancel0} \times 12 \cancel0 \: \\ \\ \displaystyle \sf \implies 1.5 \times 12 \: \: \: \: \: \\ \\ \displaystyle \sf \implies 18 \: kg \: \: \: \: \: \: \: \: \: \:$

$\purple {\boxed{ \begin{array}{l} \textsf{Weight of tin in 120 kg alloy is 18 Kg .} \end{array}}}$