Final answer:
To determine the number of spinners in a district camp, calculate 40% of 35 to find the number of bowlers and then consider the spinner percentage to be more than 60% but less than 70% of the total players. Finally, apply the appropriate percentage to the player count to get the number of spinners.
Step-by-step explanation:
The question asks about the percentage of spinners in a district camp with 35 players. We are given that 40% of these players are bowlers. To find the number of bowlers, we calculate 40% of 35, which is 0.4 × 35 = 14 bowlers. Now, for the spinners, we are informed that they make up more than 60% but less than 70% of the players.
Because the total percentage must equal 100%, and 40% are already bowlers, the percentage of spinners has to fit within the remaining 60%. Thus, if the percentage of spinners is, for example, 65%, which is between 60% and 70%, the number of spinners would be 0.65 × 35 = 22.75.
Next, since the percentage of spinners is more than 60% but less than 70%, let's take the average of the two percentages. The average of 60% and 70% is (60+70)/2 = 65%. To find the number of spinners, we calculate 65% of the total players: (65/100) x 35 = 22.75. Since we can't have a fraction of a player, we round down to the nearest whole number. Therefore, there are 22 spinners in the district camp.
However, since you can't have a fraction of a player, we would round this number to the nearest whole player.