SOLUTION: Sapple, Lapin, and Kapp play on the basketball team. At the end of the season, Sapple had scored 8 more points than Lapin, while Lapin had scored twice as many points as Kapp. Toge

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Sapple, Lapin, and Kapp play on the basketball team. At the end of the season, Sapple had scored 8 more points than Lapin, while Lapin had scored twice as many points as Kapp. Toge      Log On


   

Question 958390: Sapple, Lapin, and Kapp play on the basketball team. At the end of the season, Sapple had scored 8 more points than Lapin, while Lapin had scored twice as many points as Kapp. Together, They scored 108 points. this is the question and i need to solve it but I have no clue as what to do.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the number of points scored
by the end of the season
for the 3 players =
+S+, +L+, and +K+
--------------------------
(1) +S+=+L+%2B+8+
(2) +L+=+2K+
(3) +S+%2B+L+%2B+K+=+108+
------------------------
There are 3 equations. This is very important
because the number of equations has to
match the number of unknowns, or you
won't be able to solve it.
--------------------------
(2) +K+=+L%2F2+
Substitute (1) and (2) into (3)
(3) +L+%2B+8+%2B+L+%2B+L%2F2+=+108+
(3) +2L+%2B+L%2F2+%2B+8+=+108+
Multiply both sides by +2+
(3) +4L+%2B+L+%2B+16+=+216+
(3) +5L+=+200+
(3) +L+=+40+
and
(2) +K+=+L%2F2+
(2) +K+=+40%2F2+
(2) +K+=+20+
and
(1) +S+=+L+%2B+8+
(1) +S+=+40+%2B+8+
(1) +S+=+48+
--------------------
Sapple scored 48
Lapin scored 40
Kapp scored 20
---------------
check:
(3) +S+%2B+L+%2B+K+=+108+
(3) +48+%2B+40+%2B+20+=+108+
(3) +108+=+108+
OK