Question

I spent a quarter of my money and then received an amount equal to twice the money I had left. If I now have 30 euros more than at the beginning, how many euros did I have?

136

likes

680 views

Answer to a math question I spent a quarter of my money and then received an amount equal to twice the money I had left. If I now have 30 euros more than at the beginning, how many euros did I have?

$Expert avatar$

Gerhard

4.5

93 Answers

Llamemos x euros a la cantidad de dinero con la que empezaste. Después de gastar un cuarto, te quedan 3x/4 euros. Luego, recibes el doble del dinero que te quedaba, que es 2*(3x/4) = 3x/2 euros. La cantidad total que tienes ahora es 3x/4 (dinero restante) + 3x/2 (dinero recibido) = 9x/4 euros. Como son 30 euros más de lo que empezaste, podemos escribir la ecuación: 9x/4 = x + 30 Resolviendo para x: Multiplica ambos lados por 4 para deshacerte de la fracción: 9x = 4x + 120 Resta 4x de ambos lados para aislar x: 5x = 120 Divide ambos lados por 5 para encontrar x: x = 24 Por lo tanto, originalmente tenías 24 €.

Frequently asked questions (FAQs)

What is the variance of a dataset consisting of [5, 8, 12, 10] when calculating with the population formula?

Question: "What is the sin value in radians for an angle of 45 degrees on the unit circle?"

Find the derivative of f(x) = 3cos(4x) - 2sin(2x) + 5tan(3x)

New questions in Mathematics

Eight acts are scheduled to perform in a variety show how many different ways are there to schedule their appearances show your work

10.Silvana must knit a blanket in 9 days. Knitting 8 hours a day, at the end of the fifth day, only 2/5 of the blanket was done. To be able to finish on time, how many hours will Silvana have to knit per day?

The gross domestic product the gdp for the United States in 2017 was approximately $2.05x10^3. If you wrote this number in standard notation , it would be 205 followed by how many zeros

Calculate the 6th term of PA whose 1st term is 6.5 and the ratio 5

A hotel in the Algarve had to offer 1 week of vacation to one of its employees as an Easter gift in a random choice. It is known that 80 people work in this hotel, 41 of whom are Portuguese and 39 are foreign nationals. There are 14 Portuguese men and 23 foreign women. Using what you know about conditional probability, check the probability that the gift was offered to a Portuguese citizen, knowing that it was a woman.

If L (-2, -5) reflected across y = -4. What are the coordinates of L?

*Question!!* *Victory saved 3,000 in first bank and 2,000 Naira in union bank PSC with interest rate of X% and Y% per annual respectively his total interest in one year is #640. If she has saved 2,000 naira with first bank and 3,000 naira in union bank for same period she would have made extra 20# as additional interest, then find the value of X and Y