Mark and Paul shared a sum of money in the ratio 2: 3 respectively. Mark received $120. What was Paul's share?

2/3 = 120/x

Solve for x.

Math

89

To find Paul's share, we need to calculate the ratio between Mark and Paul's shares. The ratio given is 2:3, which means that for every 2 parts Mark receives, Paul receives 3 parts.

First, we need to determine the value of one part of the ratio. Since Mark received $120, which corresponds to 2 parts of the ratio, we can set up an equation:

2 parts → $120

To find the value of one part, we divide $120 by 2:
$120 ÷ 2 = $60

Now we know that one part of the ratio is equal to $60. Since Paul's share corresponds to 3 parts, we can calculate his share by multiplying the value of one part by 3:

$60 × 3 = $180

Therefore, Paul's share is $180.