SOLUTION: Anna has 12 bills some $5.00 and 10.00 the total value is $100.00 how many of each bill does Anna have?

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Question 61101: Anna has 12 bills some $5.00 and 10.00 the total value is $100.00 how many of each bill does Anna have?
Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
Ax+By=C [Use the standard form of a line to solve]
$5.00 x + $10.00y=$100
and
x+y=12
So, x+(12-x)=12
.
5x+10(12-x)=100
5x+120-10x=100 [solve for x]
-5x=100-120
-5x=-20
x=4
y=(12-x)=12-4=8 [solve for y]
.
Checking:
$5.00 (4) + $10.00(8)=$100
$20 + $80 = $100
$100=$100
and checking:
x+y=12
4+8=12
12=12