MathMaster logo

MathMaster

  1. Home
  2. general
  3. a construction company has three branches in lima trujillo and arequipa the total number of executives in the three branch
Question

A construction company has three branches in Lima, Trujillo and Arequipa. The total number of executives in the three branches is 32. It is known that the number of executives living in Trujillo is 10 less than the number of executives in Lima. In addition, the number of executives in Lima exceeds by 4 the number of executives living in Arequipa and Trujillo combined. How many more executives live in the city of Lima than in Arequipa? It raises the System of Linear Equations and uses a Cramer method.

86

likes
431 views

Answer to a math question A construction company has three branches in Lima, Trujillo and Arequipa. The total number of executives in the three branches is 32. It is known that the number of executives living in Trujillo is 10 less than the number of executives in Lima. In addition, the number of executives in Lima exceeds by 4 the number of executives living in Arequipa and Trujillo combined. How many more executives live in the city of Lima than in Arequipa? It raises the System of Linear Equations and uses a Cramer method.

Expert avatar
Fred
4.4
118 Answers
L + T + A = 32
T = L - 10
L = A + T + 4

1. Substitute T = L - 10 into L + T + A = 32:
L + (L - 10) + A = 32
2L - 10 + A = 32
2L + A = 42

2. Substitute T = L - 10 into L = A + T + 4:
L = A + (L - 10) + 4
L = A + L - 6
0 = A - 6
A = 6

3. Substitute A = 6 into 2L + A = 42:
2L + 6 = 42
2L = 36
L = 18

4. Substitute L = 18 into T = L - 10:
T = 18 - 10
T = 8

5. Calculate the difference between executives in Lima and Arequipa:
L - A = 18 - 6 = 12

\text{El número de ejecutivos en Lima que exceden sobre Arequipa es:} \\12

Frequently asked questions (FAQs)
Math question: What is the formula for finding the volume of a cone?
+
What is the median of a set of numbers: 12, 15, 18, 20, 25?
+
Q: Find the value of cos(45°) + sin(30°) using the trigonometric addition formula.
+
New questions in Mathematics
A sample is chosen from a population with y = 46, and a treatment is then administered to the sample. After treatment, the sample mean is M = 47 with a sample variance of s2 = 16. Based on this information, what is the value of Cohen's d?
If you have a bag with 18 white balls and 2 black balls. What is the probability of drawing a white ball? And extracting a black one?
A college believes that 22% of applicants to that school have parents who have remarried. How large a sample is needed to estimate the true proportion of students who have parents who have remarried to within 5 percentage points?
One contestant on a game show has 1,500 points and another contestant has -250 points. What is the difference between the scores of the contestants?
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 ratio of tomatoes to red apples is 2:5. If there are 20 tomaoes in the garden, how many red apples are there?
Consider numbers from 1 to 2023. We want to delete 3 consecutive, so that the avarage of the left numbers is a whole number. How do we do that
Solve the math problem 400 students are asked if they live in an apartment and have a pet: Apartment: 120 Both: 30 Pet: 90 The probability that a randomly selected student not living in an apartment has a pet is
I need to know what 20% or £3292.75
A circular window has a rubber molding around the edge. If the window has a radius of 250 mm, how long is the piece of molding that is required ? (To the nearest mm)
If a two-branch parallel current divider network, if the resistance of one branch is doubled while keeping all other factors constant, what happens to the current flow through that branch and the other branch? Select one: a. The current through the doubled resistance branch remains unchanged, and the current through the other branch decreases. b. The current through the doubled resistance branch decreases, and the current through the other branch remains unchanged. c. The current through the doubled resistance branch increases, and the current through the other branch remains unchanged. d. The current through both branches remain unchanged.
In a company dedicated to packaging beer in 750 mL containers, a normal distribution is handled in its packaging process, which registers an average of 745 mL and a standard deviation of 8 mL. Determine: a) The probability that a randomly selected container exceeds 765 mL of beer b) The probability that the beer content of a randomly selected container is between 735 and 755 mL.
Sabendo+que+o+tri%C3%A2ngulo+ABC+%C3%A9+ret%C3%A2ngulo+e+que+um+de+seus+%C3%A2ngulos+mede+30+quanto+mede+o+terceiro+ tri%C3%A2ngulo
5x+13+7x-10=99
Find the zero of the linear function 8x + 24 = 0
Calculate the pH of a solution obtained by mixing 100ml of 0.2M HCl with 100ml of 0.1M NaOH
did an analysis of dropout from the nursing faculty at the Universidad Veracruzana. With a poblation of 122 students, it turned out that according to the gender data, the female sex predominates with 82%, and the male sex male is found with 12%. The main factors why students drop out are, first of all, "Not "re-enrolled" at 49%, second place "Personal reasons" at 20%, third place "change of school" in 11%, "lack of documents" and "economic reasons" in 7%, change of residence and lack of social service in 3%. Of this sample, how many students dropped out for other reasons?
draw the condensed formula fpr 3,3,4 triethylnonane
7-1=6 6x2=12 Explain that
2p-6=8+5(p+9)

You might be interested in