cost of 1 rose = $ 3
cost of 1 carnation = $ 1
cost of 1 tulip = $ 3
<em><u>Solution:</u></em>
Let "r" be the cost of 1 rose
Let "c" be the cost of 1 carnation
Let "t" be the cost of 1 tulip
<em><u>3 roses, 2 carnations, and 1 tulip cost $14</u></em>
So we can frame a equation as:
3 roses x cost of 1 rose + 2 carnations x cost of 1 carnation + 1 tulip x cost of 1 tulip = $ 14

3r + 2c + 1t = 14 ----- eqn 1
<em><u>6 roses, 2 carnations, and 6 tulips cost $38</u></em>
So we can frame a equation as:
6 roses x cost of 1 rose + 2 carnations x cost of 1 carnation + 6 tulip x cost of 1 tulip = $ 38

6r + 2c + 6t = 38 ------ eqn 2
<u><em>1 rose, 12 carnations, and 1 tulip cost $18</em></u>
So we can frame a equation as:
1 rose x cost of 1 rose + 12 carnations x cost of 1 carnation + 1 tulip x cost of 1 tulip = $ 18

r + 12c + t = 18 ----- eqn 3
<em><u>Let us solve eqn 1 and eqn 2 and eqn 3 to find values of "r" "c" "t"</u></em>
3r + 2c + 1t = 14 ----- eqn 1
6r + 2c + 6t = 38 ------ eqn 2
r + 12c + t = 18 ----- eqn 3
From eqn 1,
3r = 14 - 2c - t

Substitute the above value of r in eqn 2

Substitute c = 2t - 5 and
in eqn 3

<h3>t = 3</h3>
Substitute t = 3 in c = 2t - 5
c = 2(3) - 5
<h3>c = 1</h3>
Substitute t = 3 and c = 1 in 

<h3>r = 3</h3>
<em><u>Summarizing the results:</u></em>
cost of 1 rose = $ 3
cost of 1 carnation = $ 1
cost of 1 tulip = $ 3