math

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what would be the equation for this math problem so i can figure it out

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?

• math -

let 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

• math -

oops,
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

• math -

ARGGGG!!!!

2G + T = 103 - 9

should say

2G + T = 103 - 33

• math -

11 * 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