1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lemur [1.5K]
3 years ago
12

Tres amigos: Andrés, Braulio y Ciro, juegan 3 apuestas

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
7 0

Answer:

La persona que ganó más dinero fue Braulio por S/.16

Step-by-step explanation:

Deje que la cantidad inicial sea Andrés X, Braulio Y y Ciro Z

Luego, dado que cada uno pierde una apuesta en el orden presentado, tenemos;

Después de la primera apuesta, tenemos;

Andrés X-Y-Z, Braulio (Y + Y), Ciro (Z + Z)

En la segunda apuesta, tenemos;

2 (X-Y-Z), 2Y - (X-Y-Z) - 2Z, 2Z + 2Z

2 (X-Y-Z), 3Y - X -Z, 4Z

En el tercero

4 (X-Y-Z), 6Y - 2X - 2Z, 4Z-2 (X-Y-Z) - (3Y - X -Z)

4 (X-Y-Z), 6Y - 2X - 2Z, 7Z - X - Y

4 (X-Y-Z) = 0.48 .............................. (1)

6Y - 2X - 2Z = 0.56 ...................... (2)

7Z - X - Y = 0.28 ............................ (3)

Multiplicamos las ecuaciones (2) por 2 y restamos la ecuación (1), tenemos;

12Y - 4X - 4Z - 4X + 4Y + 4Z = 0.56 * 2 - 0.48 = 0.64

16Y - 8X = 0.64 ...................... (4)

Multiplicamos las ecuaciones (2) por 7/2 y sumamos a la ecuación (3), tenemos;

21Y - 7X - 7Z + 7Z - X - Y = 7/2 * 0.56 + 0.28

20Y - 8X = 2.24 ...................... (5)

Restando la ecuación (4) de la ecuación (5) tenemos;

20Y - 8X - 16Y - 8X = 2.24 - 0.64 =

4Y = 1.6

Y = 1.6 / 4 = 0.4

De la ecuación (5), tenemos;

20Y - 8X = 20 * 0.4 - 8X = 2.24

8X = 8 - 2.24 = 5.76

X = 5,76 / 8 = 0,72

De la ecuación (3), tenemos;

7Z - X - Y = 7Z - 0.72 - 0.4 = 0.28

7Z = 1.4

Z = 1.4 / 7 = 0.2

Por lo tanto tienen inicialmente

X₁ = 0.72

Y₁ = 0.4

Z₁ = 0.2

Después de jugar tienen;

X₂ = 0.48

Y₂ = 0.56

Z₂ = 0.28

Los cambios son

Andrés 0.48 - 0.72 = -0.24

Braulio; 0.56 - 0.4 = 0.16

Ciro 0.28 - 0.2 = 0.08

La persona que ganó más dinero fue Braulio por S/.16

You might be interested in
HELPP PLEASE ! This mapping shos a functional reationship.
Elina [12.6K]
The answer is 3 // The ones in blue are the domain and the ones in red are the range
4 0
2 years ago
Pls answer this with an explanation if you can
Nuetrik [128]

Answer:

The answer is D

Step-by-step explanation:

$13.95 divided by 100 = 1% which is equal to $0.1395

To get 15% of her bill, you need to multiply $0.1395 by 15 which gives you $2.0925. You then round this to 2 significant figures, which totals to $2.10.

3 0
3 years ago
A roller coaster begins at 45 feet above ground level. Then it descend 52 feet. Find the height of the coaster after the first d
ioda

Answer:

-7 feet above the ground

Step-by-step explanation:

8 0
3 years ago
Make a inequality
liraira [26]
To finish in 5 weeks:
For 4 of those weeks, read 4 chapters per week. On one of the weeks read 3 chapters.

To finish in 4 weeks:
For 3 of those weeks, read 5 chapters per week. On one of the weeks read 4 chapters.

To finish in 3 weeks:
For 2 of those weeks, read 6 chapters per week. On one of the weeks read 7 chapters.

To finish in 2 weeks:
On one week read 10 chapters. On the other week read 9 chapters.

To finish in 7 days:
For 6 of those days, read 3 chapters. On one of the days, read 1 chapter.
7 0
3 years ago
Yesny had $240 to spend on five pairs of jeans. How much did each pair of
krek1111 [17]

Answer:

5x + 10 = 240

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • John’s house is 12 miles away from school. He is two-thirds of the way home. How many miles has he walked? A. 8 B. 16 C. 18 D. 2
    12·2 answers
  • How do i do this and what is it called?​
    12·2 answers
  • Pizza house offers 3 different​ salads, 2 different kinds of​ pizza, and 4 different desserts. how many different​ three-course
    8·1 answer
  • Can someone please help me with this
    12·1 answer
  • -2y-4=4(y-1) how do i solve this?
    13·1 answer
  • Please help me with my math I’m so bad at this
    7·1 answer
  • 1,985 + 12,000 + what ? = 14,471 .
    13·2 answers
  • What is the y-intercept: y + 2 - X= 0
    12·1 answer
  • Bubbles the fish is 4 feet below sea level. Swimmy the fish is 3 feet below sea
    11·1 answer
  • PLEASEE HELLP ME E ANSWER ALL QUESTIONS OF C AND D ASAPPP 50 POINTS<br><br> PLEASEEEE
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!