$MathMaster logo$

MathMaster

Home
general
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

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?

$Expert avatar$

4.5

92 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)

Math question: What is the volume of a rectangular solid with length l, width w, and height h?

+

Math Question: Find the limit of (3x^2 + 4x + 1) / (x^2 - 1) as x approaches 1.

+

What is the y-coordinate when the x-coordinate is 5 in a linear function f(x)=x?

+

New questions in Mathematics

The derivative of a power is obtained just by subtracting 1 from the power True or false

(3x^(2) 9x 6)/(5x^(2)-20)

If eight basketball teams participate in a tournament, find the number of different ways that first, second, and third places can be decided assuming that no ties are allowed.

calculate the area in square units of A rectangle with length 6cm and breadth 5cm

determine the polynomial F of degree 2 that interpolates. f at points (0;1) (2;5) (4;6). calculate F(0.8). Note: Using the polynomial expression with difference operator.

With the aim of identifying the presence of the feline leukemia virus (FeLV), blood samples were collected from cats sent to a private veterinary clinic in the city of Belo Horizonte. Among the animals treated, it was possible to observe that age followed a Normal distribution with a mean of 4.44 years and a standard deviation of 1.09 years. Considering this information, determine the value of the third quartile of the ages of the animals treated at this veterinary clinic. ATTENTION: Provide the answer to exactly FOUR decimal places

A box of numbered pens has 12 red, 12 blue, 12 green and 12 yellow pens. The pens for each colour are numbered from 1 to 12. There is a unique number on each pen, so no pen is exactly the same as any other pen in the box. When reaching into the box to randomly draw five pens without replacement, what is the proportion of getting exactly four pens of the same colour (Note: the numbers matter but the order does not)?

sum of 7a-4b+5c, -7a+4b-6c

Convert 5/9 to a decimal

ind the z-score for which 72% of the distribution's area lies between -z and z. -1.7417, 1.7417 -1.1538, 1.1538 -1.0803, 1.0803 -2.826, 2.826

In a 24 hours period, the average number of boats arriving at a port is 10. Assuming that boats arrive at a random rate that is the same for all subintervals of equal length (i.e. the probability of a boat arriving during a 1 hour period the same for every 1 hour period no matter what). Calculate the probability that more than 1 boat will arrive during a 1 hour period. (P(X>1) ) Give your answers to 4 decimal places and in a range between 0 and 1

factor the polynomial completely over the set of complex numbers b(x)=x^4-2x^3-17x^2+4x+30

Let X be a discrete random variable such that E(X)=3 and V(X)=5. Let 𝑌 = 2𝑋^2 − 3𝑋. Determine E(Y).

To paint a 250 m wall, a number of workers were employed. If the wall were 30 m longer, 9 more workers would be needed. How many were employed at the beginning?

answer this math question The scale on a map is drawn so that 5.5 inches corresponds to an actual distance of 225 miles. If two cities are 12.75 inches apart on the map, how many miles apart are they? (Round to the nearest tenth) miles apart. The two cities are how many miles apart

Sarah is lining a square tray with 1 inch square tiles. the side length of the tray is 9 inches. How many tiles does Sarah need?