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Emily Drew was the top scorer in a women’s professional basketball league for the 2006 regular season, with a total of 862 points. The
Question
Emily Drew was the top scorer in a women’s professional basketball league for the 2006
regular season, with a total of 862 points. The number of two-point field goals that Emily
made was 76 less than double the number of three-point field goals she made. The number
of free throws (each worth one point) she made was 26 less than the number of two-point
field goals she made. Find how many free throws, two-point field goals, and three-point field
goals Emily Drew made during the 2006 regular season.
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Mathematics
5 years
2021-09-05T04:32:53+00:00
2021-09-05T04:32:53+00:00 1 Answers
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Answer:
Free throw: 139
2 pointers: 173
3 pts: 123
Step-by-step explanation:
Set x equal to the number of 3pts scored.
Then get 2x-73 from the given number of 2pts relative to 3pts.
Then get 2x-107 from the given number of free throws.
Set up an equation in reference to the number of 3pts and multiply by pts for each type to get:
3x+2(2x-73)+1(2x-107)=854
where 3x is pts from 3pts
2(2x-73) is pts from 2pts
1(2x-107) is pts from free throws.
Simplify to get:
9x-253=854
Solve:
9x=1107
x=123.
Then plug in the number of 3pts scored into the other numbers.