SOLUTION: A famous basketball player scored 108 points in a high school game, breaking a national record. She made 46 more 2-point baskets than 3-point baskets, and only 1 free throw. How ma

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: A famous basketball player scored 108 points in a high school game, breaking a national record. She made 46 more 2-point baskets than 3-point baskets, and only 1 free throw. How ma      Log On


   

Question 1161608: A famous basketball player scored 108 points in a high school game, breaking a national record. She made 46 more 2-point baskets than 3-point baskets, and only 1 free throw. How many 2-point and 3-point baskets did she make?
2-pointers :
3-pointers :
stuck. unsure of what sort of formula to use. Thanks in advance!
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
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108 points in a high school game,
She made 46 more 2-point baskets than 3-point baskets, and only 1 free throw. How many 2-point and 3-point baskets did she make?
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How many points is one free-throw worth? This needs to be given. If it is 1 point each, then:

x of two-pointers
y of three-pointers
f of Free-throws if 1 point each

system%28x-y=46%2Cand%2Cf=1%29
this means, x=y%2B46.


2%28y%2B46%29%2B3y%2B1=108---------the equation accounts for the total game points which the player scored. You should be able to do the rest.