Question

Julian and Marco are brothers who like to make bets about the outcomes of different contests between them. Before the last bet, the ratio of the amount of Julian's money to the amount of Marco's money was 2: 3. Marco lost the latest competition, and now the ratio of the amount of Julian's money to the amount of Marco's money is 4: 2. If Marco had $180 before the last competition, how much does Marco have now that he lost the bet?

Answer 1

100 dollars

Explanation:

Let us first establish the fact that losing a bet means that one brother will lose part of his money to another brother, meaning that the sum of their money will remail the same.

Now, it is given that, before the last bet, Marco had $180 and that the ratio Julian: Marco was 2 : 3.

If we make a proportion, we will get;

x : $180 = 2 : 3

x = $120

So, before the last bet, Julian had $120, meaning that the sum of their money was $300.

After the last bet, sum remained the same, only the ratio changed (4:2).

That means that:

4x + 2x = $300

6x = $300

x = $50

So, Julian now has 4 • $50 = $200 and Marco has 2 • $50 = $100.