Ginger owns a flower shop, where she sells roses, lilacs, and gardenias. On Tuesday, she sold three times more roses than lilacs, and half as many gardenias as lilacs. If she sold 10 lilacs, what is the total number of flowers sold on Tuesday? Give me reasons, before answering the question
With 10 lilacs sold, three times more roses than lilacs is 3 * 10 = 30 roses. Half as many gardenias as lilacs is 10 / 2 = 5 gardenias. In total, there were 10 + 30 + 5 = 45 flowers sold on Tuesday. So the final answer is 45.