Final answer:
The actual percentage of flowers sold that are tulips is 37.5%, not the 60% stated by the classmate.
Step-by-step explanation:
The ratio given for the flowers sold by the vendor is 3 tulips to 5 roses, which is a ratio of 3:5. To find out what percentage of the flowers sold are tulips, we need to find out the proportion of tulips in the total number of flowers sold. First, we combine the parts of the ratio (3 parts tulips + 5 parts roses) to find the total parts, which is 3 + 5 = 8 parts in total.
Next, we calculate the percentage of the total that tulips represent. Since tulips are 3 out of 8 total parts, we do the following calculation: (3/8) * 100%. This results in 37.5% of the flowers being tulips. So, the classmate's statement that 60% of the flowers sold are tulips is incorrect.