Question

Please help: A toy that cost x$ is sold for $24 for a x% profit.

wth is this even possible to solve? (under quadratic problem)

Answer 1

oh i see a \(x\%\) profit
that is harder

Answer 2

yeah I cna't figure it out... I'm thinking maybe there is missing or incorrect information or something... my brain keeps thinking how can anyone know how much profit and cost of anything sold by only knowing how much it's sold for??? :(

Answer 3

well maybe we could work with an example
if you buy it for $20 and sell if for $24 then you make a \(\frac{4}{20}=.2=20\%\) profit

Answer 4

damn got it on the first try!! that was just a guess, but it works i see

Answer 5

lol yeah but you had another number lol

Answer 6

im supposed to solve it without using 20 ... you are right though the answer it says is 20 hehehe

Answer 7

i like that answer
looks good to me

Answer 8

ok lets do it without the 20, i was just using that as an example anyway

Answer 9

lets replace 20 by x

Answer 10

okay :D

Answer 11

you can't use 4 either :P

Answer 12

you buy for \(x\) you sell for \(\$24\) and your profit is \((24-x)\) which, as a percent, is
\[\frac{24-x}{x}\times 100\]

Answer 13

set
\[x=\frac{100(24-x)}{x}\] and solve for \(x\)

Answer 14

hmm that looks good

Answer 15

you get
\[x^2=2400-100x\]
\[x^2+100x-2400=0\]

Answer 16

excellent! :) ill try solving that now thanks

Answer 17

yeah by some miracle this factors, and of course you know how, since we already know the answer
that is why i wanted to do it with numbers, to see how it would work with the variables
always good if you get confused

Answer 18

yw

Answer 19

yeah that is weird hehe