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August 30, 2014

August 30, 2014

Posted by **shaniqua** on Monday, September 1, 2008 at 5:58pm.

In a basketball game, the Squirrels scored a total of 103 points and made 3 times as many field goals ( 2 points each) as free throws (1 point each). They also made eleven three point baskets. How many field goals did they have?

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**Reiny**, Monday, September 1, 2008 at 6:03pmlet the number of free throws be T

let the number of field goals b G

G = 3T

2G + T = 130

sub the first equation into the second and solve for G

sub that back into the first

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**Reiny**, Monday, September 1, 2008 at 6:11pmoops,

I always told my students, the first step is to read the question carefully at least 2 times

and guess what, I did not read the question carefully enough, and forgot about the 3 pointers.

Either change my second equation to

2G + T = 103 - 9

or follow Damon's solution below

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**Reiny**, Monday, September 1, 2008 at 6:12pmARGGGG!!!!

2G + T = 103 - 9

should say

2G + T = 103 - 33

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**Damon**, Monday, September 1, 2008 at 6:05pm11 * 3 = 33 points from outside so that leaves 103-33 = 70 points

x = number of field goals

x/3 = number of free throws

so

70 points = 2 x + 1 (x/3)

210 = 6 x + x

7 x = 210

x = 30

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