Four two-person tennis teams played tennis matches. Ivan collected the number of points won by both players on each team and arranged the information into matrices as shown.




Team 1Team 2Team 3Team 4

Player A:
A =38422125






Player B: $B = \begin{array}{llll} [22 & 18 & 42 & 40] \end{array}$



Consider the total number of points won by each tennis team. How many teams won 60 points or less?


A0
B1
C2
D3

Verified Answer :

  • Calculate the total points for each team: \(T_1=60, T_2=60, T_3=63, T_4=65\).
  • Compare each team's score against the threshold of 60 points.
  • Identify the number of teams satisfying the condition \(T_i \leq 60\).
  • The number of teams is \(\boxed{2}\).

Explanation

  1. Identifying Team Scores

To determine how many tennis teams won 60 points or less, we first need to identify the points scored by each player on the four teams. Based on the provided data, we have:

  • Team 1: Player A = 38, Player B = 22
  • Team 2: Player A = 42, Player B = 18
  • Team 3: Player A = 21, Player B = 42
  • Team 4: Player A = 25, Player B = 40
  1. Calculating Total Points per Team

Next, we calculate the total points \(T_i\) for each team by summing the points of Player A and Player B:

  • Team 1: \(T_1 = 38 + 22 = 60\)
  • Team 2: \(T_2 = 42 + 18 = 60\)
  • Team 3: \(T_3 = 21 + 42 = 63\)
  • Team 4: \(T_4 = 25 + 40 = 65\)
  1. Evaluating and Counting Teams

Now, we compare each total \(T_i\) to the target threshold of 60 points to see which teams satisfy the condition \(T_i \leq 60\):

  • Team 1: \(60 \leq 60\) is true.
  • Team 2: \(60 \leq 60\) is true.
  • Team 3: \(63 \leq 60\) is false.
  • Team 4: \(65 \leq 60\) is false.

Counting the teams that satisfy the condition, we find that Team 1 and Team 2 have 60 points or less, while Team 3 and Team 4 do not. Thus, the total number of teams meeting the criteria is 2.

Examples

In a sports competition, keeping track of team scores is essential for tournament rankings or qualifying stages. For example, coaches might need to identify which pairs of athletes consistently perform under a certain fatigue threshold or within a specific score range to adjust their training strategy. This type of point summation and comparison is a fundamental skill for data analysis in competitive sports.