Question

In an alloy of copper and zinc and tin there is 40% of copper and 45% of zinc find the weight of tin in 120kg of this alloy

Answer 1

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

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

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

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