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In basketball, the number of points you score is given by $3x+2y+z$ where $\newline$ $x$ is three-pointers, $\newline$ $y$ is two-pointers, and $\newline$ $z$ is free throws (onepointers). What is the total number of points scored by a player who makes $3$ three-pointers, $5$ two-pointers, and $6$ free throws?

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Solve equations with variables on both sides: word problems

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Q. In basketball, the number of points you score is given by

3x+2y+z

where

\newline

x

is three-pointers,

\newline

y

is two-pointers, and

\newline

z

is free throws (onepointers). What is the total number of points scored by a player who makes

3

three-pointers,

5

two-pointers, and

6

free throws?

Identify values: Identify the values for $x$ , $y$ , and $z$ . $x$ represents the number of three-pointers made, $y$ represents the number of two-pointers made, and $z$ represents the number of free throws made. In this problem, $x=3$ , $y=5$ , and $z=6$ .
Plug values into formula: Plug the values of $x$ , $y$ , and $z$ into the points formula. $\newline$ The formula for calculating the total number of points is $3x + 2y + 1z$ . So we substitute $x$ with $3$ , $y$ with $5$ , and $z$ with $6$ to get the total points: $y$ $0$ .
Perform multiplications: Perform the multiplication for each term. $\newline$ Now we calculate each term: $3(3) = 9$ , $2(5) = 10$ , and $1(6) = 6$ .
Add results: Add the results of the multiplications to get the total points. $\newline$ We add the results from Step $3$ together: $9 + 10 + 6 = 25$ .

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