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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.

porcentaje

porcentaje

porcentaje6

porcentaje7

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


A charitable organization decides to donate 1460 computers to three schools in direct proportion to the number of their students. The first school has 470 students, the second one has 500 students and the third one, 490. How many computers will each school receive?
The first school receives computers
The second school receives computers
The third school receives computers