SOLUTION: What are the dimensions of the product of a 2 x 3 matrix and a 3 x 4 matrix? You bought ten carnations and five daisies for a total of $12.50. Later that day you bought five

Question 175882: What are the dimensions of the product of a 2 x 3 matrix and a
3 x 4 matrix?

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.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
What are the dimensions of the product of a 2 x 3 matrix and a
3 x 4 matrix?
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The dimension of the product is 2 x 4
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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.
-------
Equations:
10c + 5d = 12.50
5c + 8d = 11.75
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Multiply 2nd by 2 to get:
10c + 16d = 23.50
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Subtract 1st from that to get:
11d = 11
d = $1 (Price of a daisy)
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Substitute to solve for "c":
10c + 5 = 12.5
10c = 7.50
c = 0.75 (price of a carnation)
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Cheers,
Stan H.

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