Question about Equations: Quadratic Equation


Colégio Pedro II

Equations: Quadratic Equation


(Colégio Pedro II 2016) - Question Medium of Math

In March 2016, Jorge, a Mathematics teacher, wanted to buy a certain quantity of 'X' model calculators to be able to do some activities with his students in the classroom. After some internet searches, he noticed at the time that he would spend a total of R$ 300.00. As the teacher thought that the unit price of the product would not increase throughout the year and as the activities in which he would use the calculators would only take place in September, he decided to wait a little. He remembered to do a second check in July, when he found out that the unit price of the merchandise had increased by R$ 20.00. As he intended to spend the same R$ 300.00, he realized that he would end up buying a total of four fewer pieces than he would buy in March. It is known that the teacher intended for each student in his class to receive a calculator to carry out the planned activities. Therefore, we can say that
in July, each piece would cost more than R$ 50.00.
in July, he would buy less than 6 calculators.
in March, each piece would cost less than R$ 30.00.
in March, he would buy more than 8 calculators.


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