In a competition, three teams, A, B and C, scored a total of 150 points.
If A scored 40% of this total and B scored four times as many points as C, what was the number of points scored by B?

To find out the number of points scored by Team B, we need to determine the scores of Teams A and C first.

Team A's score:
40% of 150 = 0.4 * 150 = 60 points

Now, we know that Team B's score is four times the score of Team C. Let's assume Team C's score as "x."

Team B's score = 4 * Team C's score = 4x
The total points scored by all three teams is the sum of their individual scores:
Team A's score + Team B's score + Team C's score = Total points
60 + 4x + x = 150
5x + 60 = 150
5x = 90
x = 18

Now that we have the score of Team C as 18, we can calculate the score of Team B:
Team B's score = 4 * Team C's score = 4 * 18 = 72 points

Therefore, Team B scored 72 points in the competition.