SOLUTION: Jerry's grandmother gave him a $125 gift card to Tower Records for his birthday. This week Tower Records is having a sale on current release cd's for $12. The Regular cost of CD'S

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Question 174653: Jerry's grandmother gave him a $125 gift card to Tower Records for his birthday. This week Tower Records is having a sale on current release cd's for $12. The Regular cost of CD'S is $15.
A. If x reresents the number of sale priced CD's and y represents the number of regularly priced CD's, write an inequality that represents the different number of CD's he can purchase with his gift card.
B. Find 3 possible an realistic solutions. Support your answers algebraically.

Found 2 solutions by josmiceli, Mathtut:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
x reresents the number of sale priced CD's
12x= The dollar amount Jerry paid for sale priced CD's
y represents the number of regular priced CD's
15y= The dollar amount Jerry paid for regular priced CD's
He can't pay more than the $125 gift card, so
12x+%2B+15y+%3C=+125
If I write this as an equality, then the equation represents
spending the gift card with no money left over, so
12x+%2B+15y+=+125
15y+=+-12x+%2B+125
y+=+%28-4%2F5%29x+%2B+25%2F3
I'll plot this
+graph%28+500%2C+500%2C+-1%2C+15%2C+-1%2C+12%2C+%28-4%2F5%29x+%2B+25%2F3%29+
Jerry can purchase any combination of x's and y's that
are beneath this line or on the line
(6,3)
(8,1)
(1,7)
are all OK

Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
A)12x%2B15y%3C=125
:
:
B)if you buy 2 on sale cd's: 12(2)=24
:
24%2B15y%3C=125--->15y%3C=101--->y<=6.733....therefore you could buy 6 regular priced cd's and will end up with $11 change(12(2)+15(6)=114)
:
if you buy 4 on sale cd's: 12(4)=48
:
48%2B15y%3C=125--->15y%3C=77-->y%3C=5.13...so you can buy 5 regular cd's under this scenario and end up with 2 dollars change(12(4)+15(5)=123)
:
if you buy 8 on sale cd's: 12(10)120
:
120%2B15y%3C=125--->15y=5--->y%3C=.33....so you cannot buy any regular cd's under this scenaro and you will end up with $5 change(12(10)+15(0)=120)