SOLUTION: Pat ate a total of 100 peanuts over a period of 5 days. Each day she ate 6 more peanuts than on the previous day. How many peanuts did Pat ate at the first day?

Question 271140: Pat ate a total of 100 peanuts over a period of 5 days. Each day she ate 6 more peanuts than on the previous day. How many peanuts did Pat ate at the first day?
Found 2 solutions by Greenfinch, richwmiller:
Answer by Greenfinch(383) (Show Source): You can put this solution on YOUR website!
If she ate X on day 1, she ate X + 6 on day 2 up to X + 24.
Total extra is 6 + 12+ 18+ 24 = 60
So 5X = 40
X= 8
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
S = �(2a1 + (n-1)d)n
100 = �(2a1 + 4*6)5
20 = �(2a1 + 4*6)
20= a1 + 12
a1=8 the first day
8,14,20,26,32
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