The owner of a home decorating shop wants to mix dried rose petals selling for $7 per pound, dried lavender selling for $6 per pound, and buckwheat hulls selling for $5 per pound to get 10 pounds of a mixture that would sell for $6.50 per pound. She wants to use twice as many pounds of rose petals as lavender. How many pounds of each should she use?

Question

Quizplus · Accepted Answer

Let the number of pounds of lavender be x. Then, the number of pounds of rose petals must be 2x. The total mixture is 10 pounds, so the number of pounds of buckwheat hulls is 10 - x - 2x = 10 - 3x.

Now, we can set up the equation:

(7)(2x) + (6)(x) + (5)(10 - 3x) = (6.5)(10)

14x + 6x + 50 - 15x = 65

5x = 1

x = 0.2

So the number of pounds of lavender needed is x = 0.2, which means the number of pounds of rose petals needed is 2x = 0.4. The number of pounds of buckwheat hulls needed is 10 - x - 2x = 9.4.

Therefore, the answer is D: 6 lb of rose petals, 3 lb of lavender, 1 lb of buckwheat hulls.

The Owner of a Home Decorating Shop Wants to Mix