Question

an alloy of zinc and copper weighs 13 1/2 kg if the ratio of zinc to copper is 2:3 in the alloy find the weight of copper in the alloy in grams​

Answer 1

Answer:

• Weight of copper in the alloy is 7800 grams or 7.8 kg.

Given

• An alloy of zinc and copper weighs 13 1/2 kg. If the ratio of zinc to copper is 2:3 in the alloy.

To find:

• Find the weight of copper in the alloy in grams?

Solution:

$\sf Weight \: of \: zinc \: and \: copper \: in \: an \: alloy = 13 \dfrac{1}{2}$

$\sf Ratio = 2:3$

• 2 + 3 = 5. So, Copper = 3/5

$\sf \rightarrow Weight \: of \: copper \: in \: the \: alloy = \dfrac{3}{5} \times \dfrac{26}{2}$

• By simplifying , We get :

$\bf \rightarrow \dfrac{3}{5} \times 13$

• By dividing 3 by 5 , We get :

$\bf \rightarrow0.6 \times 13$

• Multiply this.

$\bf \rightarrow 7.8kg$

$\sf{ \red{Hence, Weight \: of \: copper \: in \: the \: alloy = 7.8kg}}$

Answer 2

Given:-

• An alloy of zinc and copper weight 13 1/2 kg if the ratio of zinc to copper is 2:3.

To Find:-

• Find the weight of copper in the alloy in grams =?

Solution:-

Weight of zinc and copper in an alloy = $\sf13\dfrac{1}{2}$

Ratio = 2:3

$\sf \implies2 + 3 = 5 \ \: so \:copper \: = \frac{3}{5} \\ \\ \sf \:weight \: of \: copper \: in \: the \: alloy = \frac{3}{5} \times \frac{26}{2} \\ \\ \sf \implies \frac{3}{5} \times 13 \\ \\ \sf \implies0.6 \times 13 = 7.8kg$

Hence,weight of copper in the alloy = 7.8kg.