To answer the question, let B call the amount of meat and P the number of potatoes.
The recipe says that for every pound of meat we need 3 potatoes.
Then that relationship is written as follows:


If we increase the amounts of the recipe by 100%, it will multiply by 2 the amount of meat and also that of potatoes. Therefore we need 2 pounds of meat and 6 potatoes.
Then the relationship is:

But 
Therefore, the proportion that represents the situation remains the same 
This occurs because the increase in the amount of potatoes and beef was in the same proportion.
Answer:
$1.23
Step-by-step explanation:
First start off by multiplying $0.62 by 4 to find out the total she paid for all four pounds of beans. This would give you $2.48 spent on beans. Subtract $2.48 from the total amount spent ($8.63). You now have $6.15 left on what she could have spent on 5 pounds of potatoes. Do $6.15 divided by 5 to get an answer of $1.23. Hannah paid $1.23 per pound for the potatoes.