Let's denote the amount of granola Joy bought as J. According to the information provided:
1) The cost of granola for Joy = J
2) The cost of granola for Emilio = 1/3 * J
3) Emilio spent $4.41 on milk and $6.17 on fresh berries
4) The total amount spent by Joy = J
5) The total amount spent by Emilio = 1/3 * J + $4.41 + $6.17
Given that Joy and Emilio spent the same amount:
J = 1/3 * J + $4.41 + $6.17
Now, let's solve this equation to find the cost of granola for Joy:
J = 1/3 * J + $10.58
J - 1/3 * J = $10.58
2/3 * J = $10.58
J = $10.58 / 2/3
J = $15.87
Therefore, Joy spent $15.87 on granola.