Question

Gold is 19 times as heavy as water and copper is 9 times as heavy as water. in what ratio should these be mixed to get an alloy 15 times as heavy as water?

Answer 1

I hope this helps. I did in short method

Answer 2

Answer:

To get an alloy 15 times as heavy as water the ratio should be 3:2.

Step-by-step explanation:

Given: Gold:Wa = 19:1

  Copper:Wa = 9:1

Let 1 gram of gold be mixed with x grams of copper.

$\begin{array}{l}{\Rightarrow(19 \mathrm{x} 1)+9 \mathrm{x}=(\mathrm{x}+1) 15} \\ {\Rightarrow 6 \mathrm{x}=4} \\ {\Rightarrow \bold{\mathrm{x}=2 / 3}}\end{array}$

Ratio mixed = 1:x = 1:2/3 = 3:2

Therefore, The ratio in which the components should be mixed in order to get an alloy 15 times as heavy as water is 3:2. 3:2 is the correct answer.