SOLUTION: Team scored 78 points 19 of the baskets counted one point each the remaining 27 were two points in three point shots how many of each kind of shot did the team make
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Question 1047160: Team scored 78 points 19 of the baskets counted one point each the remaining 27 were two points in three point shots how many of each kind of shot did the team make
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
= number of 1-point baskets/shots
= number of 2-point baskets/shots
= number of 3-point baskets/shots
= total number of points scored.
"Team scored 78" translates as
We translate "the remaining 27 were two points or three point shots" as
.
We have a system of two equations: .
You could easily solve for :
---> ,
and then substitute for in the other equation to get
.
Then, substituting for in , you get
.
NOTE:
If you have not studied systems of equations,
you could start with
= number of 1-point baskets/shots
= number of 3-point baskets/shots,
and since "the remaining 27 were two points or three point shots"
= number of 3-point baskets/shots
"Team scored 78" then translates as
,
and that equation can be solved for as shown above.
OTHER WAYS: There are other ways to solve the system of equations,
but the result is the same:
there were 3-point shots,
and 2-point shots.
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