Max is looking at a table that compares the four seasons of the year and when people like to travel. She is trying to find P(spring or likes travel) . Based on the following equation, what value represents the intersection of spring and likes travel from the table? 13100+77100−?100=81100 (1 point)

1 answer

To find the intersection of "spring" and "likes travel," we can start with the equation provided:

\[ 13100 + 77100 - x = 81100 \]

where:

  • \( 13100 \) is the number of people who like spring,
  • \( 77100 \) is the number of people who like traveling,
  • \( x \) represents the intersection of "spring" and "likes travel" (the value we want to find),
  • \( 81100 \) is the total number of people who like either spring or like traveling or both.

To solve for \( x \), we can rearrange the equation:

\[ 13100 + 77100 - 81100 = x \]

Now, calculate \( 13100 + 77100 \):

\[ 13100 + 77100 = 90200 \]

Substituting this back into the equation gives:

\[ 90200 - 81100 = x \]

Calculating \( 90200 - 81100 \):

\[ 90200 - 81100 = 9100 \]

Thus, the value of the intersection of "spring" and "likes travel" is:

\[ x = 9100 \]

So, the answer is 9100.