jada has challemged herself to do at least 100 pushups this week on sunday she does 30 pushups her arms are sore so she decides to do fewer pushups on the remaining days of the week how many push ups would she need to do to reach her goal by the rest of the week

To reach her goal of 100 pushups this week, Jada has already done 30 pushups on Sunday. This means she needs to do an additional 70 pushups to reach her goal.

Let's assume she wants to evenly distribute the remaining pushups throughout the week, starting from Monday.
Considering there are 6 days left in the week (Monday to Saturday), she would need to do 70 pushups in total.
So, Jada would need to do 70 pushups / 6 days = <<70/6=11.67>>11.67 pushups per day.
Since it's not possible to do a fraction of pushups, Jada would need to do 12 pushups per day for the rest of the week to reach her goal.