Answer:
203 students surveryed purple as their favorite color
Explanation:
Let's set this up like a fraction
Percentages are always out of 100 so the denoninator will be 100
Since the number of students who's favorite color is equal to 35%, we will equal both fractions together
Variable x = number of students for purple
x/580 = 35/100
Cross multiply
x × 100 = 580 × 35
100x = 20,300
Isolate the variable by dividing both sides by 100
x = 203
203 students surveryed purple as their favorite color