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

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): You can put this solution on YOUR website!

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. "

.
.
?
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.

RELATED QUESTIONS
I require assistance with this question, "Jim had x Marbles and Won 18. How many does... (answered by Menjax)
Solve: Jim drove 196 miles in 4 hours. If he can keep the same pace, how long will it... (answered by solver91311)
Please help me solve these problems. 1. Calculate the sample mean and standard... (answered by stanbon)
In 2011, Jim Goodman, an employee at Walgreens, earned $40,000, an increase of 6.00% over (answered by Cromlix)
Jim and Jan started driving at the same time in opposite directions. Jan rode 20mph... (answered by richwmiller)
Hi, Can someone please help me with these problems. I've tried to solve them and having... (answered by aka042)
Mr. Lucky is going to invest some money in the stock market. The first stock he invests... (answered by Mathtut)
Jim has only dimes and nickels in his coin bank. He has 37 coins with a total value of... (answered by Alan3354)
A 20-meter high arch has the form of a parabola with a vertical axis. A horizontal beam... (answered by Solver92311)