Algebra2 word problem help please!?

please help me thanks!!!



You bought ten carnations and five daisies for a total of $12.50. Later that day you bought five carnations and 8 daisies for a total of $11.75. Find the price of each carnation and of each daisies.





when I used matrixes to solve it, i kept on getting carnations = 41.25 and daisies =$ 11 but that soo wrong!

and then i go carnations= $.15, but then Daisies = -.25, but it can;t be negative. im so confused! someone please help me!!! THANKS!

Algebra2 word problem help please!?
10C + 5D = 12.5

5C + 8D = 11.75



Multiply the second by 2, and subtract the first from it:



10C + 16D = 23.5

10C + 5D = 12.5

-------------------------

11D = 11

D = 1



Daisies cost $1 each.



Now, substitute this back into either of your original equations:



10C + 5(1) = 12.5

10C = 7.5

C = .75



Carnations cost 75￠ each.
Reply:10C + 5D = 12.5

5C + 8D = 11.75



where C is price of carnation, D is for daisy.



You can use any method to solve it, but if you want to use matrices,



10C + 5D = 12.5

5C + 8D = 11.75



10512.5

5811.75



inverse

0.145454545-0.090909091

-0.0909090910.181818182



soln

0.75 for carnation

1 for daisy
Reply:10c + 5d = 12.50 ........................(1)

5c + 8d = 11.75

=%26gt; 10c + 16d = 23.50 ................(2)

subtracting (1) from (2),

11d = 11.00 =%26gt; d = 1.00

then from (1),

10c + 5(1.00) = 12.50

=%26gt; 10c = 7.50 =%26gt; c = 0.75

carnations @ $0.75, daisies @ $1.00 each.
Reply:let x = price of carnation, y = price of daisy

10x + 5y = 12.50

5x + 8y = 11.75

matrix goes

10 5 12.50

5 8 11.75



take half of first and subtract from second

10 5 12.50

0 5.5 5.5



then reduce second by dividing through by 5.5

10 5 12.50

0 1 1



multiply second by 5 and subtract from first

10 0 7.50

0 1 1



now divide first by 10

1 0 0.75

0 1 1



check by direct substitution (should be solvable)

rearrange first, y = 12.50/5 - 10x/5, y = 2.5 - 2x

substitute into second equation

5x + 8(2.5 - 2x) = 11.75

-11x + 20 = 11.75

-11x = -8.25

x = 0.75, y = 1.00

check

make sure you set up your matrix right and watch the direction of multiplication, might be getting to the roots of x and y by eliminating improper
Reply:keep it simple and create two equations and set them equal to each other

use c for carnations and d for daisies, then

10c + 5d = 12.5 and

5c + 8d = 11.75

solve for one variable and plug into the other equation

10c = 12.5 - 5d

c = 1.25 - .5d plugs into

5(1.25 - .5d) + 8d = 11.75

distribute out

6.25 - 2.5d + 8d = 11.75

5.5d = 5.5

d = $1.00, then plug back in

10c + 5(1.00) = 12.5

10c = 7.5

c = $0.75

plug and chug to check your answers.

Teeth