SOLUTION: Omar purchased a box of popsicles for $210. He ate 25 of them, and then sold the rest to his friends marking a profit of $1.25 on each one. How many popsicles were in the box and w

Question 1167625: Omar purchased a box of popsicles for $210. He ate 25 of them, and then sold the rest to his friends marking a profit of $1.25 on each one. How many popsicles were in the box and what was the original price for each?
Found 2 solutions by ankor@dixie-net.com, ikleyn:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Omar purchased a box of popsicles for $210.
He ate 25 of them, and then sold the rest to his friends marking a profit of $1.25 on each one.
How many popsicles were in the box and what was the original price for each
:
let x = original number of popsicles
then
(x-25) = no. of friend's popsicles
:
Cost to friends - original cost = profit
- = 1.25
multiply by x(x-25), cancel denominators
210x - 210(x-25) = 1.25x(x-25)
210x - 210x + 5250 = 1.25x^2 - 31.25x
arrange as a quadratic equation
1.25x^2 - 31.25x - 5250 = 0
simplify, divide by 1.25
x^2 - 25x - 4200 = 0
Using the quadratic formula I got x = 78.5 which is not an integer
I'm not sure what's going on here.
Original price would be 210/78.5 ~ $2.66

Answer by ikleyn(52797) (Show Source): You can put this solution on YOUR website!
.

This problem is DEFECTIVE --- it has no solution in integer numbers.

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