How to create additional fields of sign up per child

Based on screenshot below. We want to be able to have a drop down that says "How many children will you be signing up" Based on this question, and its answer. If someone selects 2 children we want the form to add another Name of Student / Age of Student etc below that can be filled in by the parent. Is this possible? Thanks 

This is possible. There are basically two ways:

1) Adding the fields, and showing the fields based on conditions: https://www.jotform.com/help/196-Hide-or-Show-Multiple-Fields-at-Once 

2) Using dynamic widgets: https://www.jotform.com/help/252-How-to-Add-a-Widget-to-Your-Form

You could try the Configurable List widget: https://widgets.jotform.com/widget/configurable_list

Check this guide to learn how to set it up: https://www.jotform.com/help/282-How-to-Set-Up-the-Configurable-List-Widget

Let us know if you need more help.