11+Oh+Those+Dancing+Squares+Problem

=**"Oh Those Dancing Squares"**=

=To raise money for supplies, the art club held a dance contest. Ashley was in charge of assigning numbers to the contestants. She kept the number 1 for herself and assigned 2 through 18 to the other contestants. While the students were dancing I happened to notice that the sum of each participant's number and the number of their partner was a perfect square. __What number did Ashley's partner wear?__ Explain how you found your answer.= =The amount of money raised was equal to the sum of the products of each couples numbers. __How much money was raised?__ Explain how you found your answer.=