A real estate agency offers three apartments for rent in New Mexico City. The expected total revenue per month from monthly rentals for the three apartments is $1,600. The individual owners of these apartments bear the monthly maintenance costs of 20% of the rent for the first two apartments and 25% of the rent for the third apartment, which is a total amount of $345. The agency charges a monthly fee equal to 10% of the rent for apartments 1 and 3 and a fee equal to 20% of the rent for apartment 2. The monthly rent plus agency fees totals $1,875. Let x, y, and z represent the monthly rental for the first, second, and third apartments, respectively.

Monthly maintenance costs of 20% of the rent for the first two apartments and 25% of the rent for the third apartment, which is a total amount of $345 (0.2)x + (0.2)y + (0.25)z = 345

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ayoushivt ayoushivt · Answer 2 · 2022-07-26T12:28:24+02:00

The system of equation for the given condition is x +y +z = 1600, 20x +20y +25z = 34500, 10x +20y +10z = 27500.

What is an Equation?

An equation is a mathematical statement that is formed when two algebraic expressions are equated using an equal sign.

Let x, y, and z represent the monthly rental for the first, second, and third apartments, respectively.

The expected total revenue per month from monthly rentals for the three apartments is $1,600.

x +y +z = 1600

The monthly maintenance costs of 20% of the rent for the first two apartments and 25% of the rent for the third apartment

The total amount of $345

0.2x +0.2y+0.25z = 345

20x +20y +25z = 34500

The agency charges a monthly fee equal to 10% of the rent for apartments 1 and 3 and a fee equal to 20% of the rent for apartment 2.

The monthly rent plus agency fees totals $1,875.

x+0.1x +y+ 0.2y+z +0.1z = 1875

From equation 1

0.1x + 0.2y +0.1z = 275

10x +20y +10z = 27500

The missing question is

Find the system of equation for the given condition.

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