Question

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

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.**