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