Three friends share the total cost of a game. Joe pays 30%, Mike pays 2/5, and Tony pays the rest.

Question

Which of the following is true?

Tony paid the most.
Mike paid the most.
They all paid the same.
Joe paid the most.

Answer 1

To determine who paid the most, we need to calculate the amounts paid by Joe, Mike, and Tony.

1. Joe's payment: Joe pays 30% of the total cost, which can be written as: \[ J = 0.30 \text{ (or 30%)}. \]

2. Mike's payment: Mike pays \( \frac{2}{5} \) of the total cost. Converting \( \frac{2}{5} \) to decimal form: \[ M = \frac{2}{5} = 0.40 \text{ (or 40%)}. \]

3. Tony's payment: Tony pays the remaining amount. First, we find the total percentage paid by Joe and Mike: \[ \text{Total paid by Joe and Mike} = 30% + 40% = 70%. \] Therefore, Tony, who pays the remaining amount, pays: \[ T = 100% - 70% = 30%. \]

Now, let's summarize the payments:

• Joe pays 30%.
• Mike pays 40%.
• Tony pays 30%.

From this, it's clear that:

• Mike pays the most (40%),
• Joe and Tony pay the same (30%).

Thus, the correct statement is: Mike paid the most.