Question 736146
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A basketball player scored 18 times during one game. He scored a total of 30 points, which consists 
of 1 point free throws and 2 point baskets. 
How many one point free throws did he make? How many 2 point baskets did he make?
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        There are different methods to solve this problem.


        I will show here one of these methods,  which is a basic.

        It means that every student solving such problem/problems  MUST  know it.

        Probably,  other tutors will come and add their versions - but this one is that every student must know.



<pre>
Let x be the number of 1-point throws.

Then the number of 2-point throws is (18-x).


1-point throws contribute  1*x = x  points to the total counting.

2-point throws contribute  2*(18-x) points to the total counting.



Now you are prepared to write an equation for the total points

    x + 2*(18-x) = 30   points total.


Simplify it and find 'x'

    x + 36 - 2x = 30,

    x - 2x = 30 - 36,

      -x   =    -6,

       x   =     6.


Thus the number of the 1-point throws is 6.  

Hence, the number of the 2-point throws is  18-6 = 12.


<U>ANSWER</U>.  6 one-point throws and 12 two-point throws.
</pre>

Solved, and now you know the method.