A basketball team coriuains five players. They wanted to be awesome and record how many points each player scored at last night's game as a math problem. Blanche scored twice as many as Loni. Marissa scored three more points than Loni. Brooklynn scored four less points than Loni. Mani scored the same amount as Brooklynn. All together they scored 43 points. How many points did each player score?

Let's break down the problem step by step: **Let \( x \) be the number of points Loni scored.** 1. **Blanche** scored twice as many as Loni: \[ \text{Blanche} = 2x \] 2. **Marissa** scored three more points than Loni: \[ \text{Marissa} = x + 3 \] 3. **Brooklynn** scored four less points than Loni: \[ \text{Brooklynn} = x - 4 \] 4. **Mani** scored the same amount as Brooklynn: \[ \text{Mani} = x - 4 \] 5. **Total points scored by all players** is 43: \[ \text{Blanche} + \text{Loni} + \text{Marissa} + \text{Brooklynn} + \text{Mani} = 43 \] Substituting the expressions: \[ 2x + x + (x + 3) + (x - 4) + (x - 4) = 43 \] Simplify: \[ 6x - 5 = 43 \] Solve for \( x \): \[ 6x = 48 \quad \Rightarrow \quad x = 8 \] **Now, plug \( x = 8 \) back into each player's score:** - **Loni:** \( 8 \) points - **Blanche:** \( 2 \times 8 = 16 \) points - **Marissa:** \( 8 + 3 = 11 \) points - **Brooklynn:** \( 8 - 4 = 4 \) points - **Mani:** \( 8 - 4 = 4 \) points **Summary of Points:** - **Blanche:** 16 points - **Loni:** 8 points - **Marissa:** 11 points - **Brooklynn:** 4 points - **Mani:** 4 points This distribution adds up to the total of 43 points: \[ 16 + 8 + 11 + 4 + 4 = 43 \]