Question

For every 6 lbs of chocolate, 2 lbs of sugar is recquired as per the chocolate cake recipe. If you're going to use 60 lbs of chocolate in a batch, you'll need pounds of sugar.

Answer 1

According to the recipe 2 lbs of sugar is added to 6 lbs of chocolate.
For the cake according to the recipe, ratio of chocolate to sugar $=6:2$
For a batch with 60 lbs of chocolate, let the amount of sugar that needs to be added $=x\text{lbs}$
Since the two values must be in proportion for the perfect recipe,
$\Rightarrow 6:2::60:x$
$\Rightarrow \frac{6}{2}=\frac{60}{x}$
$\Rightarrow 6x=60\times 2$
$\Rightarrow x=20$ lbs sugar.