Jordan and Kamron are playıng an arcade basketball game. At the end of the game, Kamron scored $8$ fewer points than Jordan did, and Jordan scored $1$ . $2$ times as many points as Kamron did. Which of the following systems of equations could be used to find $j$ , the number of points Jordan scored, and $k$ , the number of points Kamron scored? $\newline$ Choose $1$ answer: $\newline$ (A) $j=1.2 k$ $\newline$ $j-8=k$ $\newline$ (B) $j=1.2 k$ $\newline$ $k-8=j$ $\newline$ (C) $k=1.2 j$ $\newline$ $j-8=k$ $\newline$ (D) $k=1.2 j$ $\newline$ $k-8=j$

Full solution

Q. Jordan and Kamron are playıng an arcade basketball game. At the end of the game, Kamron scored

8

fewer points than Jordan did, and Jordan scored

1

2

times as many points as Kamron did. Which of the following systems of equations could be used to find

j

, the number of points Jordan scored, and

k

, the number of points Kamron scored?

\newline

Choose

1

answer:

\newline

(A)

j=1.2 k

\newline

j-8=k

\newline

(B)

j=1.2 k

\newline

k-8=j

\newline

(C)

k=1.2 j

\newline

j-8=k

\newline

(D)

k=1.2 j

\newline

k-8=j

Rephrase Problem: First, let's rephrase the problem into a single ＂What system of equations can be used to find the number of points Jordan scored $j$ and the number of points Kamron scored $k$ ?＂
Equation $1$ : We know that Kamron scored $8$ fewer points than Jordan. This can be represented by the equation: $\newline$ $j - 8 = k$ $\newline$ This equation shows that if you take Jordan's score and subtract $8$ , you get Kamron's score.
Equation $2$ : We also know that Jordan scored $1.2$ times as many points as Kamron. This can be represented by the equation: $\newline$ $j = 1.2 \times k$ $\newline$ This equation shows that Jordan's score is $1.2$ times Kamron's score.
Check Options: Now, let's look at the options given and see which one matches our two equations: $\newline$ (A) $j = 1.2k$ and $j - 8 = k$ $\newline$ (B) $j = 1.2k$ and $k - 8 = j$ $\newline$ (C) $k = 1.2j$ and $j - 8 = k$ $\newline$ (D) $k = 1.2j$ and $k - 8 = j$ $\newline$ Option (A) matches our equations exactly, so this is the correct system of equations to find the number of points Jordan ( $j$ ) and Kamron ( $k$ ) scored.