Question

The price of a storybook is RM2 more than that of a comic book.Encik Ahamd buys x storybooks at a price of RM108.With the same amount of money,he can buy (x+9) comic books.
a)Form a quadratic equation for the price of the storybooks and comic books in terms of x and show that it can be simplified to x^2+9x-486=0

Answer 1

@phi

Answer 2

any thoughts ?

Answer 3

No :( ??

Answer 4

I will have to think about it.

Answer 5

the question does not make a lot of sense. But we can do this:
S= C+2 (story book costs 2 more than a comic)
or
C= S-2
x story books cost 108, so S= 108/x and
C= 108/x - 2

we are also told that (x+9) comic books cost 108. That means the cost of each comic is
C= 108/(x+9)

we have two different expressions for the cost of a comic. set them equal:
\[ \frac{108}{x} - 2 = \frac{108}{x+9}\]

can you finish?

Answer 6

\[\frac{ 108-2x }{ x }=\frac{ 108 }{ x+9 }\]

Answer 7

\[108x+972-2x^2-18x=108x\]

Answer 8

\[2x^2+18x-972=0\]

Answer 9

\[x^2+9x-486=0\]

Answer 10

thnx @phi

Answer 11

which is the quadratic they want. but it's unclear how this equation is
"for the price of the storybooks and comic books"