1. **State the problem:** Grandma made a certain number of tiny apple pies. Josh and his brother ate $\frac{3}{7}$ of all the pies. Then three friends came over and shared the remaining pies, which total 60. We need to find how many pies each child got if all children shared equally at first. 2. **Identify variables and known values:** - Let the total number of pies be $T$. - Josh and his brother ate $\frac{3}{7}T$ pies. - The remaining pies are $T - \frac{3}{7}T = \frac{4}{7}T$. - The remaining pies equal 60, so $\frac{4}{7}T = 60$. 3. **Solve for total pies $T$:** $$\frac{4}{7}T = 60$$ Multiply both sides by $\frac{7}{4}$: $$T = 60 \times \frac{7}{4} = 60 \times 1.75 = 105$$ 4. **Calculate pies eaten by Josh and his brother:** $$\frac{3}{7} \times 105 = 45$$ 5. **Determine the number of children sharing initially:** Josh and his brother are 2 children. 6. **Calculate how many pies each child got initially:** Since Josh and his brother shared 45 pies equally: $$\frac{45}{2} = 22.5$$ **Final answer:** Each child initially got 22.5 pies.