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In basketball, the number of points you score is given by 3x+2y+1z where x is three-pointers, y is two-pointers, and z is free throws (one-pointers). 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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In basketball, the number of points you score is given by $3x+2y+z$ where $x$ is three-pointers, $y$ is two-pointers, and $z$ is free throws (one-pointers). What is the total number of points scored by a player who makes $3$ three-pointers, $5$ two-pointers, and $6$ free throws? $\newline$ ◻

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Compare ratios: word problems

Full solution

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

3x+2y+z

where

x

is three-pointers,

y

is two-pointers, and

z

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

3

three-pointers,

5

two-pointers, and

6

free throws?

\newline

◻

Calculate threepointers points: Calculate the points from threepointers: $3$ threepointers $\times 3$ points each $= 9$ points.
Calculate two-pointers points: Calculate the points from two-pointers: $5$ two-pointers $\times 2$ points each $= 10$ points.
Calculate free throws points: Calculate the points from free throws: $6$ free throws $\times 1$ point each $= 6$ points.
Add up all points: Add up all the points: $9$ points (threepointers) + $10$ points (two-pointers) + $6$ points (free throws) = $25$ points.

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