February Answer:
During the 1987-1988 season, Michael Jordan scored 92 points fewer than twice the number of points Brad Daugherty scored. Larry Bird scored 795 points more than Daugherty. Altogether, the three players scored 6623 points. How many points did Daugherty score?
Solution:
Let J = Jordan's points, L = Bird's points, and D = Daugherty's points.
From your statements:
J = 2D - 92, L = 795 + D, and J + D + L = 6623
These are 3 equations with 3 unknowns. Plug the 1st into the 3rd for J. Plug the 2nd into the 3rd for L. Now solve the resulting equation for D ... this is Daugherty's points. Use this in the 1st and 2nd to find Jordan's and Bird's points.
[2D - 92] + D + [795 + D] = 6623
2D + D + D - (795 - 92) = 6623 - (795 - 92)
4D = 5923
D = 1480
J = 2868
L = 2275
Congratulations to the students with correct
answers
for the February Question of the Month:
| Jodie Marietta High School, Marietta City Schools |
Michael Diamond Oaks, Cincinnati-Great Oaks School District |
Nicholas Diamond Oaks, Oak Hills School District |