If the debate team averaged 108 points over 5 tournaments and scored 120, 98, 92, and 108 in the first 4 tournaments, how many points did they score in the fifth tournament?

To determine the score of the debate team in the fifth tournament, it's essential first to calculate the total points they should have scored overall given their average of 108 points in 5 tournaments.

The formula for average is:

[

\text{Average} = \frac{\text{Total points}}{\text{Number of tournaments}}

]

By rearranging the formula, we can find the total points:

[

\text{Total points} = \text{Average} \times \text{Number of tournaments} = 108 \times 5 = 540

]

Next, we calculate the total points scored in the first 4 tournaments. The scores were 120, 98, 92, and 108. Adding these together gives:

[

120 + 98 + 92 + 108 = 418

]

Now, to find the score in the fifth tournament, subtract the total points scored in the first 4 tournaments from the total points needed for all 5 tournaments:

[

\text{Fifth tournament score} = \text{Total points} - \text{Points in first 4 tournaments} = 540 - 418 = 122

]

Thus, the score in