A group of 55 football players were polled about which synthetic grass they like to play on, Chemstrand or Chemgrass. The data from the survey is shown in the Venn diagram. Use the Venn diagram to find the missing values in the frequency table. What are the values of x, y, and z?

Venn Diagram is attached belowIn the diagram,x represents the player who likes both Chemstrand and Chemgrass. That is the intersection part in the venn diagram. So the value of x is 13.y represents the player who likes Chemgrass but doesnot like Chemstrand . That is  Chemgrass alone in the venn diagram. So the value of y is 17.z represents the player who likes Chemstrand but doesnot like Chemgrass. That is Chemstrand alone in the venn diagram. So the value of z is 15.Therefore, x=13, y=17 and z=15