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.

Player A:
[tex]\[ \text{Team 1} \quad \left[ \begin{array}{cccc} 38 & 42 & 21 & 25 \end{array} \right] \][/tex]

Player B:
[tex]\[ \left[ \begin{array}{cccc} 22 & 18 & 42 & 40 \end{array} \right] \][/tex]

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

A. 0
B. 1
C. 2
D. 3



Answer :

Let's solve the problem step-by-step.

1. Listing Points for Players:
- For Player A (Player A):
- Team 1: 38 points
- Team 2: 42 points
- Team 3: 21 points
- Team 4: 25 points
- For Player B (Player B):
- Team 1: 22 points
- Team 2: 18 points
- Team 3: 42 points
- Team 4: 40 points

2. Calculating the Total Points for Each Team:
- Team 1 total points: [tex]\(38 + 22 = 60\)[/tex]
- Team 2 total points: [tex]\(42 + 18 = 60\)[/tex]
- Team 3 total points: [tex]\(21 + 42 = 63\)[/tex]
- Team 4 total points: [tex]\(25 + 40 = 65\)[/tex]

3. Comparing Each Team's Total Points with 60:
- Team 1: 60 points (60 points or less)
- Team 2: 60 points (60 points or less)
- Team 3: 63 points (more than 60 points)
- Team 4: 65 points (more than 60 points)

4. Counting the Teams with 60 Points or Less:
- Team 1 and Team 2 both have 60 points or less.

Thus, the number of teams that won 60 points or less is 2.

The correct answer is 2.