maths question, not sure

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dr_fix

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Jun 29, 2010
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a basketball team made 106 points from 49 shots. those shots were either 2 pointers or 3 pointers. how many 3 pointers did the basketball team make?

i think its done using arithmetic squences or geometric sequences but i dont know how to get the answer

thanks

*maybe wrong catagory but i wasnt sure where to put it in, sorry
 
dr_fix said:
a basketball team made 106 points from 49 shots. those shots were either 2 pointers or 3 pointers. how many 3 pointers did the basketball team make?

i think its done using arithmetic squences or geometric sequences but i dont know how to get the answer

thanks

Let x = the number of 3 point shots and y = the numbeer of 3 point shots.
Then 2x + 3y = 106 and x + y = 49.

Solve for x and y.
Click to expand...
 
\(\displaystyle 2x+3y \ = \ 106\)
\(\displaystyle \ x+ \ y \ \ = \ \ 49\)

\(\displaystyle Now, \ solve \ the \ above \ system \ using \ substitution \ or \ elimination.\)
 
2x + 3y = 106
x + y = 49

so

2x+3y = 106
x + y = 49 timesed (-2)

so i then get

2x+3y = 106
-2x-2y = -98 (+)
-------------------
y=8

so is that the answer to the question? 8 three pointers?
 
a basketball team made 106 points from 49 shots. those shots were either 2 pointers or 3 pointers. how many 3 pointers did the basketball team make?

i think its done using arithmetic squences or geometric sequences but i dont know how to get the answer

thanks
Click to expand...

Let x = the number of 3 point shots and y = the numbeer of 3 point shots.
Then 2x + 3y = 106 and x + y = 49.

Multiply x + y = 49 by 2 and subtract from 2x + 3y = 106 yielding y = 8.

Substituting y = 8 into x + y = 49 yielding x = 41.
 
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