A florist is creating 10 centerpieces. Roses cost $2.50 each, lilies cost $4 each, and irises cost $2 each. A customer plans on spending $300 on 10 centerpieces with each centerpiece containing 12 flowers, with twice as many roses as the number of irises and lilies combined.
a) Write system of linear equations that represents the situation. Then write matrix equation that corresponds to your system.
b) Find the number of flowers of each type that the florist can use to create the 10 centerpieces.