The owner of a home decorating shop wants to mix dried rose petals selling for $6 per pound, dried lavender selling for $4 per pound, and buckwheat hulls selling for $3 per pound to get 10 pounds of a mixture that would sell for $3.70 per pound. She wants to use twice as many pounds of rose petals as lavender. How many pounds of each should she use?

Answer 1

lavender --- x
rose pedals --2x
buckwheat --- 10 - 3x

4x + 6(2x) + 3(10-3x) = 3.7(10)
4x + 12x + 30 - 9x = 37
I will let you finish it