To set up the equation for this problem, we need to represent the total cost of the peaches in terms of the number of pounds (x) that Charity can buy.
The cost per pound of peaches is $1.30, and the total amount of money she has to spend is $6.50. Therefore, the correct equation is:
\[ 1.30x = 6.50 \]
Now, let's solve for \( x \):
- Divide both sides of the equation by 1.30:
\[ x = \frac{6.50}{1.30} \]
- Perform the division:
\[ x = 5 \]
So, Charity can buy 5 pounds of peaches.