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.

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)

What is the sum of 56 and 83?

Question: What is the equation of the exponential function represented by the graph below: 𝑦 = 𝑎(𝑏)^𝑥?

Find the value(s) of x satisfying the cubic equation x^3 + 2x^2 - 3x + 1 = 0.

New questions in Mathematics

I want to divide R$ 2200.00 between Antônio, Beto and Cássia, so that Beto receives half from Antônio and Cássia receives a third of Beto. Under these conditions, how much more will Beto receive than Cássia?

the value of sin 178°58'

A car that starts from rest moves for 11 min, reaching a speed of 135 km/h, calculate the acceleration it had

3x+5y=11 2x-3y=1

The ratio of tomatoes to red apples is 2:5. If there are 20 tomaoes in the garden, how many red apples are there?

v Is the following statement a biconditional? If Shannon is watching a Tigers game, then it is on television.

2x+4x=

Nice's central library building is considered one of the most original in the world, as it is a mix between a sculpture and a work of habitable architecture. It was called La Tête Carrée and is made up of part of a bust that supports a cube divided into five floors. It is known that the building has a total height of approximately 30 meters. It admits that the cubic part of the sculpture is parallel to the floor and has a volume of 2744 meters3 Calculate, in meters, the height of the bust that supports the cube. Displays all the calculations you made.

89, ÷ 10

Use a pattern to prove that (-2)-(-3)=1

Find the center coordinates and radius of a circle for an equation written as: 3x2 + 3y2 - 6y = —12× + 24

Professor Vélez has withdrawn 40 monthly payments of $3,275 from her investment account. If the investment account yields 4% convertible monthly, how much did you have in your investment account one month before making the first withdrawal? (Since you started making withdrawals you have not made any deposits.)

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

Take the limit of (sin(x-4))/(tan(x^2 - 16) as x approaches 4.

The business college computing center wants to determine the proportion of business students who have personal computers (PC's) at home. If the proportion is greater than 35%, then the lab will modify a proposed enlargement of its facilities. Suppose a hypothesis test is conducted and the test statistic is z= 2.6. Find the P-value for this test.

If the mean of the following numbers is 17, find the c value. Produce an algebraic solution. Guess and check is unacceptable. 12, 18, 21, c, 13

calculate the product of 4 and 1/8

Solve the system of equations by the addition method. 0.01x-0.08y=-0.1 0.2x+0.6y=0.2

Suppose a car license plate consists of 2 letters and two digits of which the first cannot be zero. How many different plates can be engraved? consider only 26 letters and 10 digits draw an example of this.

A plant found at the bottom of a lake doubles in size every 10 days. Yeah It is known that in 300 days it has covered the entire lake, indicate how many days it will take to cover the entire lake four similar plants.

You might be interested in