To set up the equation, we can denote the number of pounds of peaches that Charity can buy as \( x \). The cost per pound of peaches is $1.30. Therefore, the total cost of the peaches she buys can be expressed as \( 1.30x \).
Since Charity has $6.50 to spend, we can set up the equation:
\[ 1.30x = 6.50 \]
To find the number of pounds \( x \), we can solve this equation by dividing both sides by 1.30:
\[ x = \frac{6.50}{1.30} \]
Now, let's calculate \( x \):
\[ x = 5 \]
So, Charity can buy 5 pounds of peaches.