The cost of 1 poinsettia is $ 15
Solution:
Let "x" be the cost of 1 poinsettias
Let "y" be the cost of 1 wreath
Trey sold 7 poinsettias and 3 wreaths and raised $201
Therefore, we frame a equation as:
7 poinsettias x cost of 1 poinsettias + 3 wreaths x cost of 1 wreath = 201
[tex]7 \times x + 3 \times y = 201[/tex]
7x + 3y = 201 ------- eqn 1
Molly sold 4 poinsettias and 6 wreaths and raised $252
4 poinsettias x cost of 1 poinsettias + 6 wreaths x cost of 1 wreath = 252
[tex]4 \times x + 6 \times y = 252[/tex]
4x + 6y = 252 ------- eqn 2
Multiply eqn 1 by 2
14x + 6y = 402 -------- eqn 3
Subtract eqn 2 from eqn 3
14x + 6y = 402
4x + 6y = 252
( - ) -----------------------
10x = 150
x = 15
Thus cost of 1 poinsettia is $ 15
