$1$ . The basketball team scored a total of $86$ points. $J$ osiah scored one-half the points of Jared. $\newline$ Maricella scored two less than Jared. Jared and Connie both scored the same number of points and Bryan scored twice as many as Connie. How many points did each player score?

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1

. The basketball team scored a total of

86

points.

J

osiah scored one-half the points of Jared.

\newline

Maricella scored two less than Jared. Jared and Connie both scored the same number of points and Bryan scored twice as many as Connie. How many points did each player score?

Addition of Player Points: Add up all the points scored by the players to equal the total points scored by the team. $\newline$ $J + \frac{J}{2} + (J - 2) + J + 2J = 86$
Simplification of Equation: Combine like terms to simplify the equation. $4.5J - 2 = 86$
Isolating the Variable: Add $2$ to both sides of the equation to isolate the variable term. $\newline$ $4.5J = 88$
Solving for J: Divide both sides by $4.5$ to solve for $J$ . $\newline$ $J = \frac{88}{4.5}$ $\newline$ $J = 19.555...$ $\newline$ Oops, there's a mistake here. The correct calculation should be $J = \frac{88}{4.5}$ , which equals $19.555...$ , but we need a whole number for the score. Let's go back and check our equation.