Answer:
The number of touch downs = 11
The number of extra points = 4
Step-by-step explanation:
The number of times UT Longhorns scored = 15 times
The composition of the scores = Touch down and point kicks
The points with which UT Longhorns won the game = 70-3
The points that came from each touch down = 6 points
The points that came from each point kick = 1 points
We have;
The number of touch downs + Point kicks = 15
The number of touch downs = 15 - Point kicks
Let the number of point kicks = P
Therefore;
The number of touch downs = 15 - Point kicks = 15 - P
The number of touch downs = 15 - P
Given that the total points of UT Longhorns = 70, we have;
6 × (15 - P) + 1 × P = 70
90 - 6·P + P = 70
5·P = 90 - 70 = 20
P = 4
∴ The number of point kicks = P = 4
The number of point kicks, extra points = 4
The number of touch downs = 15 - P = 15 - 4 = 11
The number of touch downs = 11
