SOLUTION: A girl makes 12 foul shots for every 8 that she misses. How many shots did she make if she shot 125 foul shots?
Algebra.Com
Question 1204462: A girl makes 12 foul shots for every 8 that she misses. How many shots did she make if she shot 125 foul shots?
Found 2 solutions by MathLover1, math_tutor2020:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
given that:
the number of foul shots =
the umber she missed =
the number of foul shots =
let the number of shots be
she made shots
Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!
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 = 75
--------------------------------------------------
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 = 75
2k = number of misses = 2*25 = 50
As a check, 75 makes + 50 misses = 125 foul shots total.
--------------------------------------------------
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 = 75 makes
--------------------------------------------------
--------------------------------------------------
Answer: 75
RELATED QUESTIONS
Jill and Jack play basketball. In the first game, Jill had a foul shot average of 0.60... (answered by stanbon)
Jill and Jack play basketball. In the first game, Jill had a foul shot average of... (answered by stanbon)
A basketball player has made 6 out of every 13 foul shots attempted. If 42 foul shots... (answered by josgarithmetic,MathTherapy)
A basketball player hits three-point shots 46% of the time. If she takes 4 shots during a (answered by fractalier)
A basketball player hits three-point shots 46% of the time. If she takes 4 shots during a (answered by fractalier)
A basketball player made 28 of the 54 three point shots she took in 5 games.
a)How many... (answered by robertb)
Suppose a basketball player who makes 89% of his foul shots had been awarded two free... (answered by Fombitz)
Quentin was challenged to a half-court shooting completion. For every half-court shot he... (answered by math-vortex)
what is the answer to this word problem? In the basketball league Ivy belongs to, 2... (answered by josmiceli)