Question

Question is shown in image below. Thank you in advance for your time today.

Answer 1

Alloy #13 contains 7% gold, if means that if we need 2.7kg of this alloy, we will have to use a certain amount of gold. Multiply the percent of gold times the mass of alloy to find how much gold we need:

$2.7kg\cdot7\%=0.189kg$

It means that we need 0.189kg of gold.

The alloy we have contains 21% of gold. That means that for every 100kg of alloy there are 21kg of gold, use this ratio to find the mass of alloy we need:

$0.189kgGold\cdot\frac{100kgAlloy}{21kgGold}=0.9kgAlloy$

It means that we need 0.9kg of that alloy.

To find how much magic steel we need, we just have to substract this mass from the mass of Alloy #13:

$2.7kg-0.9kg=1.8kg$

It means that we need 1.8kg of magic steel.

The answer is: The dwarves need 1.8 kg of magic steel and 0.9 kg of their alloy in order to get 2.7 kg of Dragon Alloy #13.