Question

Exercice 6 (3 points). Résoudre le problème suivant :

On partage 9 800 euros entre 3 personnes. La première reçoit 240 euros de moins que la
seconde
et la part du troisième est égale aux trois quarts de la somme des parts des deux autres.
Calculer la part de chaque personne.

Answer 1

The student's problem is a mathematical exercise in which 9,800 euros is divided among three people with certain conditions. The shares are calculated as follows: the first person receives 3,392 euros, the second person 3,632 euros, and the third person gets 2,776 euros.

Step-by-step explanation:

The student is asked to solve a problem involving division of money among three people with given conditions. To find the part of each person, let's denote the second person's share as x euros. Therefore, the first person's share will be x - 240 euros. It is also given that the third person's share is equivalent to three-quarters (3/4) of the sum of the first two people's shares. Hence, the third person's share is 3/4 (x + x - 240). We know that the total money is 9,800 euros, so we have the equation x + (x - 240) + 3/4 (2x - 240) = 9,800.

By solving this equation, we find:

Combine like terms: 2.75x - 180 = 9,800

Add 180 to both sides: 2.75x = 9,980

Divide both sides by 2.75: x = 3632

Now we can calculate each person's share:

Second person's share: 3,632 euros

First person's share: 3,632 - 240 = 3,392 euros

Third person's share: 3/4 (3,632 + 3,392) = 2,776 euros

Answer 2

P 2.680 S 2.920 T 4.200

Step-by-step explanation:

S = seconde

Premiere = S-240

Troisieme = 3/4( 2S -240)

S + S-240 + 3/4(2S-240) = 9800

Multiplie tout par 4 pour eliminer la fraction

4S + 4S -960 + 6S - 720 = 39200

14 S = 40.880

S = 2.920

P = 2.920-240 = 2.680

T =3/4(5.600) = 4.200

2.920 + 2.680 + 4.200 = 9.800