Question

In a recent gymnastics competition, Team A scored 30 points less than four times the number of points that Team B scored. Team C scored 61 points more than half of the number of points that Team B scored. If Team A and Team C shared in the victory, having earned the same number of points, how many more points did each team have than Team B?

Answer 1

Team A and Team C scored 74 points, that is, 48 points more than Team B, which scored 26 points.

Step-by-step explanation:

Since in a recent gymnastics competition, Team A scored 30 points less than four times the number of points that Team B scored, and Team C scored 61 points more than half of the number of points that Team B scored, if Team A and Team C shared in the victory, having earned the same number of points, to determine how many more points did each team have than Team B, the following calculation must be performed:

Team A = 4B - 30

Team C = 1 / 2B + 61

4B - 30 = 1 / 2B + 61

4B - 1 / 2B = 61 + 30

3.5B = 91

B = 91 / 3.5

B = 26

Team A = 4 x 26 - 30 = 74

Team C = 0.5 x 26 + 61 = 74

Therefore, Team A and Team C scored 74 points, that is, 48 points more than Team B, which scored 26 points.