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Campus Rentals rents 2- and 3-bedroom apartments for $700 and $900 a month respectively. Last month they had six vacant apartments and reported $4600 in lost rent. How many of each type of apartment were vacant?

a.3 2-bedroom
3 3-bedroom
b.2 2-bedroom
4 3-bedroom
c.4 2-bedroom
2 3-bedroom
d.5 2-bedroom
1 3-bedroom

Respuesta :

joseaaronlara

Answer:

The answer to your question is letter B.

Step-by-step explanation:

Data

2-bedroom apartment = w

3-bedroom apartment = t

cost 2-bedroom = $700

cost 3-bedroom = $900

total cost = $4600

Process

1.- Write equations to solve this problem

     w + t = 4600

     700w + 900t = 4600

2.- Solve the system by substitution

      w = 6 - t

      700(6 - t) + 900t = 4600

      4200 - 700t + 900t = 4600

       200t = 4600 - 4200

       200t = 400  

              t = 400/200

              t = 2

Find w

        w = 6 - 2

        w = 4

3.- Result

       The campus rented 2 2-bedroom and 4 3-bedroom

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