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Maths Exercices
Equal shares
A number of people invest different amounts in a project. When it comes to sharing the profits of the project the usual method is that a person who initially invests more capital gets a larger share of the profits and whoever invests less capital receives a smaller share of the profits. That is, the division of profits is directly proportional to the amount of the initial investment.

Direct equal shares

Three business associates, Anthony, Joseph and Ana invest €5000, €8000 and €10000 respectively, to set up a company. After some time the company makes €2300 profit. What share of the profit does each investor receive?

Let x, y and z represent the profits of Anthony, Joseph and Ana. Then we can work out the proportion of profit to  investment.





So Antonio receives €500, José receives €800 and Ana receives 1000 euros.

Three friends decide to set up a sports betting syndicate. Robert invests 49 euros, Laura invests 44 euros and Sebastian 57 euros. In one draw they win 99000 euros and decide to share the money. What share of the profit does each friend receive?
Robert receives euros
Laura receives euros
Sebastian receives euros