SOLUTION: my 6th grader had this for homework they barely started beg. algebra solving for x. Don't know how to help him with the problem below. Please help the math team decided t

Question 758138: my 6th grader had this for homework they barely started beg. algebra solving for x. Don't know how to help him with the problem below. Please help

the math team decided to sell customized pocket protectors as a fundraiser. These were truly a hot item in our school, and $240 was raised. Cecily had originally suggested a price that was $2 lower for each item, but if the team had agreed to that price they would have had to sell 20 more pocket protectors to get the $240

How many pocket protectors did they actually sell? what was the price of each.
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
Let p = the original price
Let n = the number sold
Since the amount raised is $240, we have n*p = 240
If they had lowered the price by $2, they would have needed to sell 20 more to make $240.
The equation for this is (n+20)(p-2) = 240
Solve for p in the 1st equation and substitute in the 2nd:
(n+20)(240/n-2) = 240
If you perform the multiplication and simplify, your are left with
n^2 + 20n - 2400 = 0
Factor:
(n+60)(n-40) = 0
Take the positive solution, n = 40
So they sold 40 pocket protectors at a cost of $6 each
RELATED QUESTIONS
I'm trying to help my son (6th grader) with his homework. The question is "graph the... (answered by Alan3354)

My 7th grader is stumped with his math homework and I don't know how to help him. Here... (answered by josgarithmetic)

Helping my grandson with 6th grade Algebra. x+3x=x+x+10 How do I break down to... (answered by rfer)

I need help for my grandson and me on some homework he came home with yesterday. It is... (answered by kevwill)

Hi. I am in 7th grade advanced math and I have questions about my homework but my teacher (answered by Alan3354)

I need help solving this inequality. I don't understand how to find the answer for both... (answered by Edwin McCravy)

My web homework for the beginning of this semester is an algebra review. I have not had... (answered by Nate)

am trying to help my 9th grader with algebra....the problem is:... (answered by nerdybill,Earlsdon,stanbon)

What would be the solution for x in the rational equation: x^2/(x-3) = (x+2)/(2x-5) (answered by josgarithmetic)