Algebra 1 word question about involving quadric equations and functions

label Algebra
account_circle Unassigned
schedule 1 Day
account_balance_wallet $5

Kedra earned $192 from the sale of flower arrangements that she had made. If she had charged $8 more apiece, she could have sold two fewer arrangements and still have earned the same amount. How many arrangements did Kedra sell. 

Jun 3rd, 2015

Thank you for the opportunity to help you with your question!

Let she sold x arrangements... @ $y each

hence    xy = 192   from here we can write  y = 192/x

Next if shw would have sold (x-2) pieces at $(y+8)  then 

(x-2)(y+8) = 192

solving we get   (x-2)( 192/x +8) = 192

or we can write , (x-2) (192+8x) = 192x

or, 192x+8x^2 -384 -16x =192x

or , 8x^2 -16x-384 =0

we can write it as 8(x+6)(x-8) = 0   hence x = -6  or x = 8

since she can not sell Negative arrangments there fore we will omit x = -6

Answer = she sold  8 arrangements

Please let me know if you need any clarification.  I'm always happy to answer your questions. 

Use my promo code: Saroj N, and  get $10 Free.


Jun 3rd, 2015

Did you know? You can earn $20 for every friend you invite to Studypool!
Click here to
Refer a Friend
...
Jun 3rd, 2015
...
Jun 3rd, 2015
Sep 22nd, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer