Questions: Kevin sold 189 more than twice as much merchandise as Robyn. If Kevin sold at least 45,105, how much did Robyn sell? Write an inequality to represent the facts and solve. Write an inequality to represent the facts. (Type an inequality using x as the variable. Do not simplify. Do not include the symbol in your answer.) Determine how much Robyn sold. (Type an inequality using x as the variable. Simplify your answer. Do not include the symbol in your answer.)

Solution Steps

To solve this problem, we need to set up an inequality based on the given information. Let \( x \) represent the amount of merchandise Robyn sold. According to the problem, Kevin sold $189 more than twice the amount Robyn sold, and this amount is at least $45,105. We can set up the inequality and solve for \( x \).

1. Set up the inequality based on the given information.
2. Solve the inequality to find the minimum amount Robyn sold.

Given that Kevin sold $189 more than twice the amount Robyn sold, and this amount is at least $45,105, we can set up the inequality as follows: \[ 2x + 189 \geq 45105 \]

To find the minimum amount Robyn sold, we solve the inequality for \( x \): \[ 2x + 189 \geq 45105 \] Subtract 189 from both sides: \[ 2x \geq 44916 \] Divide both sides by 2: \[ x \geq 22458 \]

Final Answer