Final answer:
Team B scored 105 points.
Step-by-step explanation:
To find the number of points team B scored, we need to understand the given ratio and use it to solve the problem. The ratio of the score of team A to the score of team B is 16:21. This means that for every 16 points team A scores, team B scores 21 points. Since team A scored 80 points, we can set up a proportion to find the unknown variable, which is the number of points team B scored. This can be done as follows:
16/21 = 80/x
To solve for x, we can cross-multiply and solve for x:
16x = 80 * 21
x = (80 * 21) / 16
Calculating this gives us:
x = 105
Therefore, team B scored 105 points.