SOLUTION: Jim's Market couldn't keep Crunchy Critter Crackers in stock. Jim started with 300 boxes but everyone wanted them. The first day Jim sold 6 boxes, and on the second day he sold 14

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Question 1180013: Jim's Market couldn't keep Crunchy Critter Crackers in stock. Jim started with 300 boxes but everyone wanted them. The first day Jim sold 6 boxes, and on the second day he sold 14 boxes. Each day 8 more boxes were sold than the day before. So after two days, he had sold 20 boxes. If he kept selling the crackers at this rate, when would Jim run out of Crunchy Critter Crackers?

Found 3 solutions by josgarithmetic, mananth, ikleyn:
Answer by josgarithmetic(39620)   (Show Source):
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Initially 300 After day 1 300-6=294 After day 2 300-6-14=280 After day 3 280-8

At what rate? At continued 8 boxes per day?
272 boxes in stock AFTER day 3, and sale rate is 8 boxes per day.

"Each day 8 more boxes were sold than the day before. "

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Answer by mananth(16946)   (Show Source):
You can put this solution on YOUR website!

his selling pattern is an arithmetic sequence

Sn = n/2[(2a+(n-1)d)]
a= 6 , d = 8 Sn = 300
300 - n/2 [ 2*20 + (n-1)*8]
600 = n(40 +8n-8]
600 = 40n^2-32n
/8
75 = 5n^2-4n
5n^2-4n -75=0
solve for x
x= 4.28 days
On the 5th day he wont meet the demand

Answer by ikleyn(52802)   (Show Source):
You can put this solution on YOUR website!
.

As usual, all calculations of the so called "tutor" @mananth are incorrect.

Below I presented my calcs using Excel for you to compare with.

T A B L E day sold cumulative boxes total --------------------------- 1 6 6 2 14 20 3 22 42 4 30 72 5 38 110 6 46 156 7 54 210 8 62 272 9 70 342

Sometimes, it seems to me that the mentioned above so called "tutor" comes drank to the forum.