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Ricky has some cookies. He ate 1/8 of his cookies and an additional 14 cookies on Friday. He then ate 3/10 of the remaining cookies and an additional 24 cookies on Saturday. He ate 40 cookies on Sunday and had 34 cookies left. How many cookies did Ricky have at first?
Determine the solution set for the follwing system. Also, Answer the question, how many solutions are there?
a+b^2+c^3+d^4=246
a-b^2-c^3-d^4=-206
a-b^2+c^3-d^4=44
20a-10b^2+5c^3-d^4=24