Question

The marching band in selling poinsettias and wreaths to raise money for new uniforms. Trey sold 7 poinsettias and 3 wreaths and raised $201. Molly sold 4 poinsettias and 6 wreaths and raised $252. How much is a poinsettia

Answer 1

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

`7 * x + 3 * y = 201`

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

`4 * x + 6 * y = 252`

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