Question: Troy asked May to solve the attached problem and show all the steps to the solution: YAYAYAY YAYR WAX INA ANY TAYAY My dog Fido

Troy asked May to solve the attached problem and show all the steps to the solution:

YAYAYAY YAYR WAX INA ANY TAYAY My dog Fido is giving her true love gifts according to the popular song "Twelve Days of Christmas." For example, she gives a gift on the first day. On the second day, she gives two new gifts, and one of the same given on the first day, a total of 3 gifts. On the third day she gives three new gifts, two of the same given on the second day, and one of the same given on the first day, a total of 6 gifts. In the song this continues for 12 days. Note that the maximum number of any one individual gift is 42 given on the sixth and seventh day. Suppose there are 89 "days of Christmas." (a) Find the maximum number of any individual gift given, and on what day it is given. (b) Find the total number of gifts given. JAVE VAVAY

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