Question 313393: Martin ate 100 cookies in five days. Each day he ate 6 more than the day before. How many cookies did he eat on the first day? Found 2 solutions by stanbon, MathTherapy:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Martin ate 100 cookies in five days. Each day he ate 6 more than the day before. How many cookies did he eat on the first day?
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Arithmetic series with S(5)=100 and d = 6.
Find a(1)
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Formula: S(n) = a(1)+(n-1)d
100 = a(1) + 4*6
a(1) = 74
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Cheers,
Stan H.
You can put this solution on YOUR website! Martin ate 100 cookies in five days. Each day he ate 6 more than the day before. How many cookies did he eat on the first day?
Let the amount of cookies that Martin ate on the 1st day be F
Since he ate 6 more cookies than the previous day, then he would've eaten:
(F + 6) cookies on the 2nd day
F + 6 + 6, or (F + 12) cookies on the 3rd day
F + 12 + 6, or (F + 18) cookies on the 4th day
F + 18 + 6, or (F + 24) cookies on the 5th day
Since he had eaten a total of 100 cookies in 5 days, then we have:
(