SOLUTION: A basketball player makes a total of 517 shots totaling 1037 points. How many of those shots are 3 point shots and how many are 2 point shots?
From the examples in the book, I
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Question 532313: A basketball player makes a total of 517 shots totaling 1037 points. How many of those shots are 3 point shots and how many are 2 point shots?
From the examples in the book, I should have 2 equations:
x + y = 517
2x + 3y = 1037
Is this right?
How do I begin to solve?
Found 3 solutions by oberobic, stanbon, josmiceli:
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
x = 2-point shots
2x = points scored with 2-point shots
y = 3-point shots
3x = points scored with 3-point shots
.
x + y = 517
so
x = 517-y
.
2x + 3y = 1037
.
Substitute x = 517-y
.
Solve for 'y' and then substitute the value of 'y' to find 'x'.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
x + y = 517
2x + 3y = 1037
----
Multiply thru 1st equation by 2 to get:
2x + 2y = 2*517
2x + 3y = 1037
----
Subtract and solve for "y":
y = 3
---
Solve for "x":
x + y = 517
x + 3 = 517
x = 514
----
Solution: (514,3)
====================
Cheers,
Stan H.
====================
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
That's right.
= number of 2 point shots
= number of 3 point shots
(1)
(2)
Multiply both sides of (1) by and
subtract (1) from (2)
(2)
(1)
and, since
(1)
(1)
(1)
The shots are 514 two point shots and 3 three point shots
check:
(2)
(2)
(2)
(2)
OK
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