Question 1103687
x = number of foul shots made
x + 10 = number of 2-pointers  {they made 10 more 2-pointers than foul shots}
44 - (x + x + 10) = number of 3-pointers   {they made a total of 44 baskets}
 = -2x + 34  


x + 2(x + 10) + 3(-2x + 34) = 77   {value of basket times number of baskets equals total points}
x + 2x + 20 - 6x + 102 = 77  {used distributive property}
-3x + 122 = 77  {combined like terms}
-3x = -45   {subtracted 122 from each side}
x = 15   {divided each side by -3}
x + 10 = 25   {substituted 15, in for x, into (x + 10)}
-2x + 34 = 4  {substituted 15, in for x, into (-2x + 34)}


15 one-point foul shots
25 two-point field goals
4 three point field goals
= poor defense
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