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Paty's Florist is creating flower arrangements for Mother's Day. A bouquet of 12 roses, 8 carnations, and 8 daisies cost $42. A bouquet of 8 roses, 6 carnations, and 10 daisies cost $34.50. A bouquet of 10 roses, 10 carnations, and 6 daisies cost $37.50.

Give the solution of the system as an ordered triple (x,y,z)

How much will a bouquet of 12 daisies cost?



Answer :

The solution of the system as an ordered triple (x, y, z) is; (2, 1, 1.25).

The cost of a bouquet of 12 daisies is; $15

How to solve simultaneous Equations?

Let the cost of roses be x

Let the cost of carnations be y

Let the cost of Daisies be z

Thus, we have the three simultaneous equations as;

12x + 8y + 8z = 42   ------(1)

8x + 6y + 10z = 34.5   ------(2)

10x + 10y + 6z = 37.5    ------(3)

Using online simultaneous equation calculator gives us the values as;

x = 2; y = 1; z = 1.25

Thus, the solution of the system as an ordered triple (x, y, z) is; (2, 1, 1.25).

The cost of a bouquet of 12 daisies is;

Cost = 12 * 1.25 = $15

Read more about simultaneous Equations at; https://brainly.com/question/148035

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