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)
A plane travels 150 km east and then changes direction to travel 75 km southwest. How far is the plane from its starting point?
+
What is the criteria for congruence between two triangles?
+
What is the equation of a hyperbola with vertical transverse axis, center at (0,0), vertex at (0,3), and asymptotes with equations y = 2x and y = -2x?
+
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?
a runner wants to build endurance by running 9 mph for 20 min. How far will the runner travel in that time period?
A circle with a 12-inch diameter is folded in half and then folded in half again. What is the area of the resulting shape?
A book is between 400 and 450 pages. If we count them 2 at a time there is none left over, if we count them 5 at a time there is none left over and if we count them 7 at a time there are none left over, how many pages does the book have?
The derivative of a power is obtained just by subtracting 1 from the power True or false
*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
B - (-4)=10
The main cost of a 5 pound bag of shrimp is $47 with a variance of 36 if a sample of 43 bags of shrimp is randomly selected, what is the probability that the sample mean with differ from the true mean by less than $1.4
-0.15/32.6
how many arrangements can be made of 4 letters chosen from the letters of the world ABSOLUTE in which the S and U appear together
Subscribers to the FAME magazine revealed the following preferences for three categories: Fashion 30, Athletics 24 and Business 15. Following these frequencies of observation, compute the chi-square test statistic. At the 0.05 level of significance, would you conclude they are similar?
solve for x 50x+ 120 (176-x)= 17340
find x in the equation 2x-4=6
Emma is on a 50 m high bridge and sees two boats anchored below. From her position, boat A has a bearing of 230° and boat B has a bearing of 120°. Emma estimates the angles of depression to be about 38° for boat A and 35° for boat B. How far apart are the boats to the nearest meter?
What is 75 percent less than 60
Find the number of pounds of nails required for 17850 square feet of drywall if each thousand square feet requires 4.5 pounds of nails.
Given a circle 𝑘(𝑆; 𝑟 = 4 𝑐𝑚) and a line |𝐴𝐵| = 2 𝑐𝑚. Determine and construct the set of all centers of circles that touch circle 𝑘 and have radius 𝑟 = |𝐴𝐵|
Identify the slope and y intercept y=11+2/3x
Define excel and why we use it?
Let f(x)=-1/2x+5 evaluate f(-6)

You might be interested in