Jereny had $400. He had 20% of the amount of money shannon had. Mark had 50% of what both jeremy and shannon had altogether. How much money did mark have?

Answer 1

Let's break down the problem step by step.

1. Determine Shannon's amount: Jeremy has $400, which is 20% of the amount of money Shannon has. We can set up the equation: \[ 0.20 \times \text{Shannon's amount} = 400 \] To find Shannon's amount, we can rearrange the equation: \[ \text{Shannon's amount} = \frac{400}{0.20} = 2000 \]

2. Calculate the total amount of money Jeremy and Shannon have together: \[ \text{Total} = \text{Jeremy's amount} + \text{Shannon's amount} = 400 + 2000 = 2400 \]

3. Find Mark's amount: Mark has 50% of the total amount that Jeremy and Shannon have together. Thus, we set up the equation: \[ \text{Mark's amount} = 0.50 \times \text{Total} \] \[ \text{Mark's amount} = 0.50 \times 2400 = 1200 \]

So, Mark had $1200.