Mathematics: Sarah liskow was the top scorer in a women s professional basketball league for the 2006 regular season, with a total of 810 points. the number of two-point field goals that sarah made was 55 less than double the number of three-point field goals she made. the number of free throws (each worth one point) she made was 15 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 sarah liskow made during the 2006 regular season

Sarah liskow was the top scorer in a women s professional

Ответ:

mahaypatto

09.01.2022

Mathematics

150 one point throws, 165 two points throws and 110 three points throws

Step-by-step explanation:

Let x be the number of free (one point) throws.

The number of free throws Sarah made was 15 less than the number of two-point field goals she made. If y is the number of two points throws, then

x=y-15

so the number of two points throws =x+15

The number of two-point field goals that Sarah made was 55 less than double the number of three-point field goals she made. If z is the number of three points throws, then

$y=2z-55\\ \\2z=y+55\\ \\2z=x+15+55\\ \\2z=x+70\\ \\z=\dfrac{1}{2}x+35$

so the number of three points throws $=\dfrac{1}{2}x+35$

The total score is 810 points, so

$x\cdot 1+(x+15)\cdot 2+\left(\dfrac{1}{2}x+35\right)\cdot 3=810\\ \\x+2x+30+1.5x+105=810\\ \\4.5x=810-30-105\\ \\4.5x=675\\ \\x=150\\ \\x+15=150+15=165\\ \\\dfrac{1}{2}x+35=\dfrac{1}{2}\cdot 150+35=75+35=110$

0,0(0 оценок)

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question