SOLUTION: You bought ten carnations and five daisies for a total of $12.50. Later that day you bought five carnations and eight daisies for a total of $11.75. Find the price of each carnat

Algebra ->  Matrices-and-determiminant -> SOLUTION: You bought ten carnations and five daisies for a total of $12.50. Later that day you bought five carnations and eight daisies for a total of $11.75. Find the price of each carnat      Log On


   

Question 176153: You bought ten carnations and five daisies for a total of $12.50. Later
that day you bought five carnations and eight daisies for a total of
$11.75. Find the price of each carnation and of each daisy.



What are the dimensions of the product of a 2 x 3 matrix and a
3 x 4 matrix?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let C be the cost of carnations and D be the cost of daisies.
1.10C%2B5D=12.50
2.5C%2B8D=11.75
Let's double eq. 2 and subtract 2 from 1 and solve for D.
10C%2B5D-2%285C%2B8D%29=12.5-2%2811.75%29
10C%2B5D-10C-16D%29=12.5-23.50
-11D=-11
D=1
From 1,
1.10C%2B5D=12.50
10C%2B5=12.50
10C=7.50
C=0.75
Carnations cost $0.75 while daisies cost $1.00.
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To do matrix multiplication, the inner dimensions (3) must match.
The product dimensions are the outer dimensions of the original matrices.
%282x+%28highlight%283%29%29%29%28%28highlight%283%29%29x4%29
%282x4%29
The product would be a 2x4 matrix.