Final answer:
To scale up the monetary ratio of $155 to $465 (which simplifies to 1/3) to find the unknown time quantity corresponding to 20 hours, we set up a proportion and solve for x, resulting in an unknown quantity of 60 hours.
Step-by-step explanation:
The ratio on the left is $155 to $465, which can also be written as 155/465. To find the corresponding value for the unknown quantity on the right when given 20 hours, we must scale up the ratio.
First, we simplify the monetary ratio: 155/465 simplifies to 1/3 when we divide both numbers by 155. This means that for every 1 unit of currency on the left, there are 3 units on the right.
Applying this ratio to the time, we set up a proportion: 1/3 = 20hours/x. Solving for x, we cross-multiply to get 1*x = 3*20 which simplifies to x = 60 hours. Therefore, the unknown quantity on the right is 60 hours.