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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.

The residents of three blocks of flats, E1, E2, and E3, decide to build a communal swimming pool. The total cost of the project is estimated at 158000 euros. There are 49 residents in block E1, 50 in E2 and 59 in E3. What is the total cost to the residents of each building?
The residents of block E1 have to pay euros
The residents of block E2 have to pay euros
The residents of block E3 have to pay euros