Question

Martha is planting a garden that will cover up to 400 square feet. She wants to plant two types of flowers, daisies and roses. Each daisy covers 2 square feet and each rose covers 1.5 square feet. Daisies cost $2 a piece and each rose costs $3 a piece. Martha doesn't want to spend over $500 on her garden.If the solution region is the amount of each type of flower Martha can plant, which graph's shaded area represents the solution region?

Answer 1

Answer:

150 daisies and 66 roses.

Step-by-step explanation:

Let X be the number of daisies and Y the number of roses. We have left that:

2X + 1.5Y = 400 ..............................................(1)

2X + 3Y = 500 .................................................(2)

We have two equations with two unknowns, therefore we proceed to solve. If we subtract (1) from (2) we have:

1.5Y = 100

Y = 100 / 1.5 = 66.7, it would be approximately 66 roses.

Substituting the value of Y now in (1) we have:

2X + 1.5(66.7) = 400

2X + 99.9 = 400

X = (400 - 99.9) / 2 = 150.05, would be approximately 150 daisies.