Awholesaler purchased a certain number of books for $864. if the price per book was $3 less, the number of the books that could be purchased for $864 would be 4 more. how much did each book cost originally?

$27

Step-by-step explanation:

b will be the number of books and p will be the price, now we just use a system of equations

bp = 864

       b=864/p

(b+4)(p-3) = 864

(864/p +4)(p-3) = 864

864 - 2592/p + 4p -12 = 864

864p - 2592 + 4p^2 -12p - 864p = 0

4p^2 -12p -2592 = 0

4(p^2 - 3p -648) = 0

4((p - 3/2)^2 - 2601/4) = 0 (completed the square here)

4(p - 3/2)^2 -2601 = 0

p = +/-51/2+3/2

p = 27 or -24

A negative price doesn't make sense so it's 27, now we go back to the other equation if you want to find the number of books.  

b=864/p

b = 864/27

b = 32

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !

28

step-by-step explanation:

because that's the answer