SOLUTION: A DVD costs 7 times what you get when if you add the number of $ in it's price to the number of cents. This gives it's price in cent . What is it ? Thanks.

Algebra ->  Finance -> SOLUTION: A DVD costs 7 times what you get when if you add the number of $ in it's price to the number of cents. This gives it's price in cent . What is it ? Thanks.      Log On


   

Question 549276: A DVD costs 7 times what you get when if you add the number of $ in it's price to the number of cents. This gives it's price in cent . What is it ? Thanks.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A DVD costs 7 times what you get when if you add the number of $ in it's price to the number of cents.
This gives it's price in cent. What is it?
:
Let d = no. of dollars
Let c = no. of cents
:
100(d+.01c) = 7(d+c)
100d + c = 7d + 7c
100d - 7d = 7c -c
93d = 6c
c = 93%2F6d
reduce the fraction
c = 31%2F2d
we can see that an integer solution is possible when d = 2, then c = 31
Actually we have 3 integer solutions from this equation (c has to be less than 100)
DVd cost:
d . c
$2.31, 7(2+31) = 231 cents
$4.62, 7(4+62) = 462 cents
$6.93, 7(6+93) = 693 cents