Question 1204462
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Method 1


x = number of shots made
125-x = number of misses


makes/misses = 12/8
makes/misses = 3/2
x/(125-x) = 3/2
2x = 3(125-x)
2x = 375-3x
2x+3x = 375
5x = 375
x = 375/5
x = <font color=red>75</font>



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Method 2


Ratio of makes to misses is 12:8, which reduces to 3:2
Let k be some positive integer to get the new equivalent ratio 3k:2k


3k = number of makes
2k = number of misses
3k+2k = 5k = total number of foul shots
5k = 125
k = 125/5
k = 25


Therefore,
3k = number of makes = 3*25 = <font color=red>75</font>
2k = number of misses = 2*25 = 50


As a check, 75 makes + 50 misses = 125 foul shots total.


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Method 3


12 makes + 8 misses = 20 shot attempts total.
Her shooting percentage from the free-throw line is 12/20 = 0.60 = 60%


60% of 125 shots total = 0.60*125 = <font color=red>75 makes</font>


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Answer: <font color=red size=4>75</font>
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